Right Triangle Relationships Unit Test Review

8 September 2022
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15 test answers

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question
Which is the best approximation for the measure of angle ABC?
answer
58.3°
question
Given right triangle QRS, what is the value of sin(30°)?
answer
1/2
question
Given right triangle RST, what is the value of sin(S)?
answer
5/13
question
A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet. What is the distance around the perimeter of the garden?
answer
120ft.
question
The hypotenuse of a 45°-45°-90° triangle measures in. What is the length of one leg of the triangle?
answer
5 ^/10
question
Given △ABC ~ △XYZ, what is the value of cos(Z)?
answer
12/13
question
Which is the best approximation for the measure of angle ABC?
answer
58.3 degrees
question
The hypotenuse of a 45°-45°-90° triangle measures units. What is the length of one leg of the triangle?
answer
7 units
question
What are the angle measures of triangle ABC?
answer
m∠A = 90°, m∠B = 60°, m∠C = 30°
question
Building A and building B are 500 meters apart. There is no road between them, so to drive from building A to building B, it is necessary to first drive to building C and then to building B. About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number.
answer
183 meters
question
The equation cos(35o) = can be used to find the length of . What is the length of ? Round to the nearest tenth.
answer
20.5 in.
question
Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the string makes a 25o angle with the ground and when the string makes a 45o angle with the ground? Round to the nearest tenth.
answer
14.2 feet
question
Which equation can be used to find the measure of angle LKJ?
answer
sin-1(8.9/10.9)=x
question
The equation tan(55o)=can be used to find the length of . What is the length of ? Round to the nearest tenth.
answer
10.5 cm.
question
A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image. What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame?
answer
16.7