Tutors Answer Your Questions about Triangles (FREE)
Question 1198658: The triangle CAT is reflected across the y-axis. Which of the following is NOT true?
A) the image of the triangle CAT is congruent to the image of the triangle CAT
B) the image of the triangle CAT is the same distance from the y-axis as the trangle CAT.
C) the image of the triangle CAT is similar to triangle CAT
D) both of the above abswers, B and C, are not true
Click here to see answer by greenestamps(13198)   |
Question 1199077: A handyman is installing a tile floor in a triangle shaped entry way. The length of each wall is 11.3 feet, 15.8 feet, and 14.7 feet. If the tile will cost $5.8 per square foot, how much will the new floor cost?
Click here to see answer by ikleyn(52775)  |
Question 1199076: Two points A and B are on opposite sides of a building. A surveyor selects a third point C to place a transit. Point C is 47 feet from point A and 60 feet from point B. The angle ACB is 53°. How far apart are points A and B?
Click here to see answer by ikleyn(52775) |
Question 1199075: A rocket tracking station has two telescopes A and B placed 2.6 miles apart. The telescopes lock onto a rocket and transmit their angles of elevation to a computer after a rocket launch. What is the distance to the rocket from telescope B at the moment when both tracking stations are directly east of the rocket telescope A reports an angle of elevation of 29° and telescope B reports an angle of elevation of 43°?
Click here to see answer by ikleyn(52775) |
Question 1199090: A flagpole is perpendicular to the horizontal but is on a slope that rises 8.6° from the horizontal. The pole casts a 70-foot shadow down the slope and angle of elevation of the sun measured from the slope is 24.3°. How tall is the pole? Round your answer to the nearest 0.1 foot.
Click here to see answer by math_tutor2020(3816) |
Question 1199074: A flagpole is perpendicular to the horizontal but is on a slope that rises 8.6° from the horizontal. The pole casts a 70-foot shadow down the slope and angle of elevation of the sun measured from the slope is 24.3°. How tall is the pole? Round your answer to the nearest 0.1 foot.
Click here to see answer by math_tutor2020(3816) |
Question 1199591: Im a triangle ABC.
Cos A/a = Cos B/b = Cos C/c, and a = 2. It is possible to compute the area of the
triangle, (Hint: compare the problem data with the Law of the Sines, compute ratios between the sines and cosines of the angles)
A) sqrt3/4
B) sqrt3/2
C) sqrt3
Click here to see answer by ikleyn(52775) |
Question 1199591: Im a triangle ABC.
Cos A/a = Cos B/b = Cos C/c, and a = 2. It is possible to compute the area of the
triangle, (Hint: compare the problem data with the Law of the Sines, compute ratios between the sines and cosines of the angles)
A) sqrt3/4
B) sqrt3/2
C) sqrt3
Click here to see answer by math_tutor2020(3816) |
Question 1199620: Hi,
I am currently working on creating my own geometry word problems using the Desmos geometry tool, for a school project. My word problem features two congruent, completely equal, oblique triangles which are right next to each other; meaning, the lower right vertex of the left-most triangle connects with the lower left vertex of the right-most triangle. The base of each triangle is 3.71, in the tool's units. But what I noticed is that the distance between the tips of each triangle is the same as the base. That is to say, the distance between the top vertex of one triangle to the other is equal to the length of each triangle's base. Why is this so? I mean, it seems rather intuitive, but I want to know if it has to do with congruency or something. Outside of pure curiosity, I want to know because in my word problem, the student is expected to deduce that the distance between the tips is the same length as the bases, but I can't tell if this is an unreasonable deduction to ask of. If it is, I plan to simply ask the student to make that assumption in my word problem
Thank you so much and I apologize for the lengthy question,
Fabrizio Farfán
Click here to see answer by math_tutor2020(3816) |
Question 1199944: An airplane is flying east at a constant altitude of 28,000 meters. The pilot spots a ship at an angle of
depression of 18.5 degrees . After 73 seconds the angle of depression is 38.4 Degrees. Find the speed of the plane.
Click here to see answer by ikleyn(52775) |
Question 1200184: The following side lengths, in meters, were given to a carpenter to build a front porch with a triangular design. The carpenter needs to determine which set of lengths will make a triangle to be able to use it in his design.
Option 1: Side lengths: 4, 4, 8
Option 2: Side lengths: 6, 8, 10
Option 3: Side lengths: 6, 6, 13
Part A. Which of the options would create a triangle for his design?
Part B. The homeowner would like the porch to be in the shape of a right triangle. Will the carpenter be able to use any of the given options?
Part C. For any option that does not form a triangle, what side length could be changed to
form a triangle? Explain your answer.
Click here to see answer by ikleyn(52775) |
Question 1200184: The following side lengths, in meters, were given to a carpenter to build a front porch with a triangular design. The carpenter needs to determine which set of lengths will make a triangle to be able to use it in his design.
Option 1: Side lengths: 4, 4, 8
Option 2: Side lengths: 6, 8, 10
Option 3: Side lengths: 6, 6, 13
Part A. Which of the options would create a triangle for his design?
Part B. The homeowner would like the porch to be in the shape of a right triangle. Will the carpenter be able to use any of the given options?
Part C. For any option that does not form a triangle, what side length could be changed to
form a triangle? Explain your answer.
Click here to see answer by math_tutor2020(3816) |
Question 1200277: The following side lengths, in meters, were given to a carpenter to build a front porch with a triangular design. The carpenter needs to determine which set of lengths will make a triangle
to be able to use it in his design.
Option 1: Side lengths: 4, 4, 8
Option 2: Side lengths: 6, 8, 10
Option 3: Side lengths: 6, 6, 13
Part A. Which of the options would create a triangle for his design?
Click here to see answer by ikleyn(52775) |
Question 1200277: The following side lengths, in meters, were given to a carpenter to build a front porch with a triangular design. The carpenter needs to determine which set of lengths will make a triangle
to be able to use it in his design.
Option 1: Side lengths: 4, 4, 8
Option 2: Side lengths: 6, 8, 10
Option 3: Side lengths: 6, 6, 13
Part A. Which of the options would create a triangle for his design?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1200430: A ladder is placed against a vertical wall with
its foot on horizontal ground. If the angle of
inclination of the ladder to the horizontal is
39° and the distance between the foot of
the ladder and the wall is 4.7m, calculate
the length of the ladder correct to 1 d.p..
Click here to see answer by ikleyn(52775) |
Question 1200762: The side lengths of triangle ABC are 22 , 2x , and 55 . The side lengths of triangle DEF are 11 ,5 , and 5.5x . Is it possible that the triangles are similar?
If so, find the value of $x$ that makes the triangles similar. If not, leave this part blank.
Click here to see answer by ikleyn(52775) |
Question 1200779: 1. If one of the legs of a right triangle is three times the other and the perimeter of the triangle is 45m,find its area.
2. The area of a triangle is 65m^2 and the triangle is an equiangular triangle. Find the length of the three sides.
3. The area of a triangle is 8346m^2 and two of its interior angles are 37°25' and 56°17'. What is the length of the longest side?.
4. In a triangle ABC; AC= 60cm, BC= 30cm, and angle B=80°30',Find side AB.
Click here to see answer by josgarithmetic(39616) |
Question 1200779: 1. If one of the legs of a right triangle is three times the other and the perimeter of the triangle is 45m,find its area.
2. The area of a triangle is 65m^2 and the triangle is an equiangular triangle. Find the length of the three sides.
3. The area of a triangle is 8346m^2 and two of its interior angles are 37°25' and 56°17'. What is the length of the longest side?.
4. In a triangle ABC; AC= 60cm, BC= 30cm, and angle B=80°30',Find side AB.
Click here to see answer by math_tutor2020(3816) |
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