Questions on Geometry: Triangles answered by real tutors!

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Question 1106044: A small airplane at an altitude of 5000 feet is flying East at 300 feet per second, and you are watching it with a small telescope as it passes directly overhead. Refer to the figure above.
a. What is the slope of the telescope 5, 10, and 20 seconds after the plane passes overhead?
b. What is the slope of the telescope t seconds after the plane passes overhead?
c. After it passes overhead, is the slope of the telescope increasing, decreasing, or staying the same?

Click here to see answer by josgarithmetic(39613) About Me 

Question 1106257: Hello, I'm trying to solve for a question in my geometry class. It's asking me to solve for triangle GIK, with side IM = 14. It's asking me to find the measure of side ML.
Here's the image of the figure I'm trying to solve for:
https://i.imgur.com/qX5B6b1.png
Any help is greatly appreciated, thank-you.

Click here to see answer by rothauserc(4718) About Me 

Question 1106394: https://cds.flipswitch.com/tools/asset/media/590882
Wheelchair ramps require specific ratios of height to length to make them usable by people who use wheelchairs. In this project, you'll investigate the angles and distances of these ramps. The Americans with Disabilities Act (ADA) requires a slope of no more than 1:12 for wheelchairs and scooters for business and public use.
The ramp should make no more than a __________° angle with the ground in order to comply with the ADA.
Which of the following algorithm(s) would allow you to solve for the value that belongs in the blank in the previous sentence?
sin^−1 ⁡AB/AC
cos^−1 ⁡AB/AC
sin^−1⁡ CB/AC
cos^−1 ⁡CB/AC

Click here to see answer by Boreal(15235) About Me 
Question 1106394: https://cds.flipswitch.com/tools/asset/media/590882
Wheelchair ramps require specific ratios of height to length to make them usable by people who use wheelchairs. In this project, you'll investigate the angles and distances of these ramps. The Americans with Disabilities Act (ADA) requires a slope of no more than 1:12 for wheelchairs and scooters for business and public use.
The ramp should make no more than a __________° angle with the ground in order to comply with the ADA.
Which of the following algorithm(s) would allow you to solve for the value that belongs in the blank in the previous sentence?
sin^−1 ⁡AB/AC
cos^−1 ⁡AB/AC
sin^−1⁡ CB/AC
cos^−1 ⁡CB/AC

Click here to see answer by addingup(3677) About Me 

Question 1106412: Equilateral triangle ABC has altitude AD. Median AE of triangle ABD is drawn. If the area of triangle AEC is +27%2A+sqrt%28+3+%29+ cm^2, what is the side length AB, in cm?
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1106398: https://cds.flipswitch.com/tools/asset/media/573164
An airplane travels 1000 miles on a bearing of 210°. Then, it changes to a bearing 270° and travels 500 miles.
1. What is the measure of ∠ABC?
m∠ABC= __________°
Enter your answer as the number that correctly fills in the blank in the previous sentence.
2. Now, you know m∠ABC in △ABC.
Which of the following laws would help you to find the length of AC¯?
A. Law of Sines
B. Law of Cosines
3. How far is the airplane from the starting point?
AC≈ __________ miles
Enter your answer as the number rounded to the nearest hundredth that correctly fills in the blank in the previous sentence.

Click here to see answer by josgarithmetic(39613) About Me 

Question 1106579: ux bisects tw and uv congruent to vx. what method can be use to prove tub congruent to vxw
Click here to see answer by Alan3354(69443) About Me 

Question 1106574: In ΔABC, m∠CAB = 60° and AD is an angle bisector with D ∈ BC and AD = 8 ft. Find the distances from D to the sides of the triangle.
Click here to see answer by greenestamps(13195) About Me 

Question 1106742: An isosceles triangle with one angle measuring 29 degrees?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1106744: In angle ABC, measure of angle A=32 and measure of angle C is three times measure of angle B. Find measure of angle B and measure of angle C ?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1106743: In angle TUV, TU=9.3, TV=10.6, and UV=8.7. Which is the smallest angle of the triangle?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1106972: Hi I am having trouble with a problem. I need to find x in a right triangle. The base is 3 and the height is x+1 with a hypotenuse of 4. I have tried many different ways and just can't get the answer. Please help me and thank you for taking your time to read this.
Click here to see answer by josgarithmetic(39613) About Me 

Question 1107020: Determine whether ∆QRS is a right triangle for the given vertices. Explain.
Q(18, 13), R(17, –3), S(–18, 12)
Thank you!

Click here to see answer by ikleyn(52750) About Me 

Question 1107134: Find the third vertex C(x,y) of an equilateral triangle if the other vertices are A(-4,-1) and B (4,3)
Click here to see answer by josgarithmetic(39613) About Me 
Question 1107134: Find the third vertex C(x,y) of an equilateral triangle if the other vertices are A(-4,-1) and B (4,3)
Click here to see answer by ikleyn(52750) About Me 

Question 1107073: Hello can someone please help me with these two problems ASAP? This really got me stuck so i can't move on. I'd appreciate it so much for helping. This is the link to the problem
https://docs.google.com/document/d/1MTDEdNJazocnHEmBvYzJDl-8yjM-Wpn74E0itR0N0JY/edit?usp=sharing

Click here to see answer by Fombitz(32388) About Me 

Question 1107113: I am trying to find the perimeter of the given triangle.
If triangle ABC is similar to DEF, AB=5, BC=6, AC=7 and DE=3

Click here to see answer by math_helper(2461) About Me 

Question 1107185: What is the value of x in this picture?
Image: https://i.imgur.com/3ESKZCO.png

Click here to see answer by Boreal(15235) About Me 

Question 1107184: I'm trying to solve for the missing reason in line 3 of the two column proofs in my question.
Here is the diagram I'm solving for.
Image - https://i.imgur.com/hdBGIdS.jpg
Thank-you for any help I appreciate it.

Click here to see answer by Boreal(15235) About Me 

Question 1107206: In triangle ABC, B is 24 degrees larger than A. If C is 9 degrees smaller than B, find the three angles.









Click here to see answer by math_helper(2461) About Me 

Question 1107173: While walking home, Mae casts a shadow of 1.15m when she is 0.75m away from a 4.42m high street lamp. How tall is Mae?
Click here to see answer by Alan3354(69443) About Me 

Question 1107299: The sides of a triangle lie along the straight line with equations y=1; x+y=6 and y-3x+2=0.
(a) Find the equation of the altitudes. (An altitude is a line through a vertex perpendicular to the opposite)
(b) Show that the altitudes are con-current and find the coordinates of the point where they meet (the point is called the orthocentre of the triangle).

Click here to see answer by KMST(5328) About Me 

Question 1107362: The sides of a triangle are 7cm, 8cm and 5cm respectively. Find its area
Click here to see answer by ikleyn(52750) About Me 
Question 1107362: The sides of a triangle are 7cm, 8cm and 5cm respectively. Find its area
Click here to see answer by rothauserc(4718) About Me 

Question 1107361: The base of a right triangle is one and half times its height. If its area is 27 sq.m, find its base
Click here to see answer by rothauserc(4718) About Me 
Question 1107361: The base of a right triangle is one and half times its height. If its area is 27 sq.m, find its base
Click here to see answer by ikleyn(52750) About Me 

Question 1107508: How many triangles can be made if one angle is 95° in another angle is obtuse
Click here to see answer by josgarithmetic(39613) About Me 

Question 1107482: a) The areas of two similar triangles are 120 m sq., and 30 m sq. If one side of the smaller triangle is 3 m. find the length of the corresponding side of the other triangle.
b)The areas of two similar triangles are in the ratio 16:25. If the length of a side of the larger triangle is 35m, find the length of the corresponding side of the smaller triangle.

Click here to see answer by josgarithmetic(39613) About Me 

Question 1107547: 3. Which triangle congruence theorem could be used to immediately show Triangle ABC is congruent to triangle CDA with no additional steps?
http://prntscr.com/i5p5hk
a) SSS
b) HL
c) SAS
d) ASA
Could someone please help me?
Thanks!

Click here to see answer by stanbon(75887) About Me 

Question 1107548: 11. The sides of a triangle are 5, 12, and n. Write an inequality that expresses the interval of values that n may have. (1 point)

a) 5 < n < 12
b) 5 < n < 17
c) 7 < n < 17
d) 7 < n < 12
My Answer: C
Can someone please check it?

Click here to see answer by stanbon(75887) About Me 
Question 1107548: 11. The sides of a triangle are 5, 12, and n. Write an inequality that expresses the interval of values that n may have. (1 point)

a) 5 < n < 12
b) 5 < n < 17
c) 7 < n < 17
d) 7 < n < 12
My Answer: C
Can someone please check it?

Click here to see answer by Alan3354(69443) About Me 
Question 1107548: 11. The sides of a triangle are 5, 12, and n. Write an inequality that expresses the interval of values that n may have. (1 point)

a) 5 < n < 12
b) 5 < n < 17
c) 7 < n < 17
d) 7 < n < 12
My Answer: C
Can someone please check it?

Click here to see answer by ikleyn(52750) About Me 

Question 1107536: I have a question on: "Area of triangle: Heron's formula." I wish I could upload a picture of what the question looks like so you can have a better point of view of the question (sorry), but the question is: "Eric has designed a fishpond in the shape of a quadrilateral for a local park. Calculate the total area of the fishpond, correct to the nearest square metre." The four sides are 3m, 3.7m, 1.6m 4.5m, with an angle of 70 on the bottom right corner.
Thank you

Click here to see answer by ikleyn(52750) About Me 

Question 1107552: Consider △ABC, where AB=AC=13 units, and m∠BAC=80°. What are the measures of ∠ABC and ∠ACB?
m∠ABC=__________° and m∠ACD=__________°.

Click here to see answer by stanbon(75887) About Me 

Question 1107555: Valeria is filling her new fish tank with water. The tank measures 36 inches by 13 inches by 24 inches. She has a 3-gallon bucket that she can fill at the sink and then pour into the tank. What is the minimum number of times Valeria needs to fill (or partially fill) the 3-gallon bucket in order to completely fill her fish tank? (Hint: There are 231 cubic inches in a gallon.)She needs to fill up the 3-gallon bucket at least __________ times in order to completely fill her tank.
Click here to see answer by Boreal(15235) About Me 
Question 1107555: Valeria is filling her new fish tank with water. The tank measures 36 inches by 13 inches by 24 inches. She has a 3-gallon bucket that she can fill at the sink and then pour into the tank. What is the minimum number of times Valeria needs to fill (or partially fill) the 3-gallon bucket in order to completely fill her fish tank? (Hint: There are 231 cubic inches in a gallon.)She needs to fill up the 3-gallon bucket at least __________ times in order to completely fill her tank.
Click here to see answer by josgarithmetic(39613) About Me 

Question 1107557: Julie's eye level is 5 feet above the ground. She looks up at the top of 75 foot tall cliff. Using a clinometer, she measures the angle of elevation of her line of sight to be 52°. How far is Julie standing from the base of the cliff?
A. 59ft
B. 55ft
c. 51ft
D. 47ft

Click here to see answer by math_helper(2461) About Me 

Question 1107569: If 8,15,17 is a pythagorean triple, which of the following could also be a pythagorean triple?
F. 10,17,19
G. 3,10,12
H. 3,4,6
J. 24,45,51
P.S can u also email me the answer choice and why

Click here to see answer by greenestamps(13195) About Me 
Question 1107569: If 8,15,17 is a pythagorean triple, which of the following could also be a pythagorean triple?
F. 10,17,19
G. 3,10,12
H. 3,4,6
J. 24,45,51
P.S can u also email me the answer choice and why

Click here to see answer by ikleyn(52750) About Me 

Question 1107570: A bird sits at the top of a 24 foot tall tree. The bird is seen by a cat which is standing 12 feet away from the tree. To the nearest degree, what is the angle of elevation from the cat to the bird.
P.S can u also email me the answer choice and why

Click here to see answer by josgarithmetic(39613) About Me 
Question 1107570: A bird sits at the top of a 24 foot tall tree. The bird is seen by a cat which is standing 12 feet away from the tree. To the nearest degree, what is the angle of elevation from the cat to the bird.
P.S can u also email me the answer choice and why

Click here to see answer by TeachMath(96) About Me 

Question 1107571: Lucas makes the statement: "The exterior angles of a triangle are always obtuse. "of the following, which provides a counterexample to the statement?
A. Isosceles Triangle
B. Equilateral Triangle
C. Right Triangle
D. Acute Triangle
P.S can u also email me the answer choice and why

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1107616: How would you explain the difference between angle-angle-side, angle-side-angle, and side-angle-side to a classmate who thinks the letters look alike?
Click here to see answer by addingup(3677) About Me 
Question 1107616: How would you explain the difference between angle-angle-side, angle-side-angle, and side-angle-side to a classmate who thinks the letters look alike?
Click here to see answer by ikleyn(52750) About Me 

Question 1107668: find x give answer in simpilest form
| \
|45\
8|   \ y
|    \
|     \
|90  45\
|_______\
    x 

Click here to see answer by Alan3354(69443) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690