Questions on Geometry: Triangles answered by real tutors!

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Question 1144102: how to find the values of the variables of a triangle, where angle A=[m-10]^, angle B=[m+10]°, and angle C=m°?

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Question 1144139: determine whether a triangle with the given vertices is a right triangle
D (6,4),E (9,10),F(-2,8)
J (1,11),K (-1,-3), L(-7,5)
A (-7,2),B(-3,10) C(0,-2)

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Question 1144238: A triangle has an angle that measures 30°. The other two angles are in a ratio of 13:17. What are the measures of those two angles?

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Question 1144238: A triangle has an angle that measures 30°. The other two angles are in a ratio of 13:17. What are the measures of those two angles?

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Question 1144257:
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Question 1144296: A guy wire is anchored 12 feet from the base of a pole. The wire makes a 58 o angle with the ground. To the nearest foot how long is the wire?
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Question 1144296: A guy wire is anchored 12 feet from the base of a pole. The wire makes a 58 o angle with the ground. To the nearest foot how long is the wire?
Click here to see answer by MathTherapy(10549) About Me 
Question 1144296: A guy wire is anchored 12 feet from the base of a pole. The wire makes a 58 o angle with the ground. To the nearest foot how long is the wire?
Click here to see answer by ikleyn(52752) About Me 

Question 1144832: The hypotenuse of a right triangle is 26 millimeters. One leg of the right triangle is 10 millimeters. What is the length of the other leg?
18 millimeters
20 millimeters
24 millimeters
28 millimeters

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Question 1145047: the perimeter of the isosceles triangle with base length x-7 and legs of length z. How to figure this and simplify?
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Question 1145236: The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The lengths of two sides of a triangle are 17 ft and 27 ft. Find the possible lengths of the third side.
The third side must have a length greater than
nothing ft and less than
nothing ft.

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Question 1145236: The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The lengths of two sides of a triangle are 17 ft and 27 ft. Find the possible lengths of the third side.
The third side must have a length greater than
nothing ft and less than
nothing ft.

Click here to see answer by josgarithmetic(39613) About Me 
Question 1145236: The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The lengths of two sides of a triangle are 17 ft and 27 ft. Find the possible lengths of the third side.
The third side must have a length greater than
nothing ft and less than
nothing ft.

Click here to see answer by MathTherapy(10549) About Me 

Question 1145269: In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm.
Which is the approximate measure of angle YZX?
34.8°
39.4°
50.6°
55.2°

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Question 1145337: A man standing on the roof of a building 65.0 feet high looks down to the building next door. He finds the angle of depression to the roof of that building from the roof of his building to be 34.6°, while the angle of depression from the roof of his building to the bottom of the building next door is 63.2°. How tall is the building next door? (Round your answer to the nearest tenth.)
_____________

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Question 1145338: A man wandering in the desert walks 2.3 miles in the direction S 31° W. He then turns 90° and walks 3.6 miles in the direction N 59° W. At that time, how far is he from his starting point, and what is his bearing from his starting point? (Round your answers to the nearest whole number.)
distance _________________mi
bearing S ________________° W

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Question 1145334: A 74.0-foot rope from the top of a circus tent pole is anchored to the ground 43.3 feet from the bottom of the pole. What angle does the rope make with the pole? (Assume the pole is perpendicular to the ground. Round your answer to one decimal place.)
°

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Question 1145335: The diagonal of a rectangle is 348 millimeters, while the longer side is 280 millimeters. Find the shorter side of the rectangle. (Round your answer to the nearest whole number.)
____________mm
Find the angles the diagonal makes with the sides. (Enter your answers as a comma-separated list. Round each answer to the nearest degree.)
____________°

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Question 1145335: The diagonal of a rectangle is 348 millimeters, while the longer side is 280 millimeters. Find the shorter side of the rectangle. (Round your answer to the nearest whole number.)
____________mm
Find the angles the diagonal makes with the sides. (Enter your answers as a comma-separated list. Round each answer to the nearest degree.)
____________°

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Question 1145336: A person standing
d = 141
centimeters from a mirror notices that the angle of depression from his eyes to the bottom of the mirror is
a = 14°,
while the angle of elevation to the top of the mirror is
b = 14°.
Find the vertical dimension of the mirror. (Round your answer to the nearest whole number.)
_______cm

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Question 1145354:
In the triangle, what is the smallest possible whole-number value for x?

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Question 1145482: Find the exact value of csc 60°
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Question 1145478: Draw an angle of 124.3° In standard position. Find the sine, cosine, tangent of this angle.
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Question 1145479: Find the remaining sides of a 45° -45° -90° If the longest side is 4.
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Question 1145481: Find y if the point (7,y) is on the terminal side of Theta and cos theta = 7/25
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Question 1145511: Add (34°41') + (23°22')
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Question 1145510: Find theta I'd theta is between 0 and 90 degrees. Round Answer to nearest tenth of a degree.
Cot theta = 0.8536

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Question 1145512: Find cos^2 12° + sin^2 12°
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Question 1145601: Convert to radians.
42degree 15'

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Question 1145599: pilot 4870 m directly above the front of a straight train observes that the angle of depression of the end of the train is 62.2 degreee Find the length of the train.
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Question 1145599: pilot 4870 m directly above the front of a straight train observes that the angle of depression of the end of the train is 62.2 degreee Find the length of the train.
Click here to see answer by Edwin McCravy(20054) About Me 

Question 1145468: State the restrictions on the sine and cosine functions and explain why those restrictions occur. Use proper mathematical symbols.
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Question 1145693: a person standing at point A notices that the angle of elevation to the top of the antenna is 48° 30'. A second person standing 35.0 feet farther from the antenna than the person at A finds the angle of elevation to the top of the antenna to be 41° 10'. How far is the person at A from the base of the antenna?
(Round your answer to the nearest whole number.)
________ft

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Question 1145692: A man wandering in the desert walks 2.3 miles in the direction S 31° W. He then turns 90° and walks 3.6 miles in the direction N 59° W. At that time, how far is he from his starting point, and what is his bearing from his starting point?
distance_____mi
bearing S____° W

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

Question 1145691: A man standing on the roof of a building 65.0 feet high looks down to the building next door. He finds the angle of depression to the roof of that building from the roof of his building to be 34.6°, while the angle of depression from the roof of his building to the bottom of the building next door is 63.2°.
How tall is the building next door? (Round your answer to the nearest tenth.)

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

Question 1145852: triangle ABC is isosceles with base AC. If the measure of angle m is (12x+6) and the measure of angle C is (7x+22)
find the measure of angle and draw a picture.

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Question 1145852: triangle ABC is isosceles with base AC. If the measure of angle m is (12x+6) and the measure of angle C is (7x+22)
find the measure of angle and draw a picture.

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Question 1146004: The lengths of the legs of a right triangle are y and (3y-1)m and the hypotenuse is (3y+1)m, find y
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Question 1146045: Two boats are 43.8 km apart. Both are traveling toward the same point, which is 87.3 km from one of them and 78.4 km from the other. Find the angle at which their paths intersect.
Round the answer to one decimal place.
The angle =

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Question 1146046: From a point on level ground, the angles of elevation of the top and the bottom of an antenna standing on top of a building are 33.8˚ and 26.0˚, respectively. If the building is 134 ft. high, how tall is the antenna?
Round the answer to one decimal place.
The antenna is

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Question 1146104: What is the volume of this solid with the base with edge 9 m and an upper base with edge 3m. if the distance between these bases is 8 m

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Question 1146103: What is the volume of this solid with the base with edge 9 m and an upper base with edge 3m. if the distance between these bases is 8 m

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Question 1146324: An equilateral triangle MPS has a point O inside. If MO=3, PO=4, and SO=5, determine the area of the equilateral triangle.
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Question 1146955: AB is a line 852 feet long on one bank of a stream, and C is a point on the opposite bank. If m
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Question 1147132: A square checkerboard has four sides that are each 15 inches long. About
how far will a checker travel if it starts in one corner of the board and
travels diagonally to the opposite corner of the board?

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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