ExamView - Right triangles Practice test.tst

Name: ________________________ Class: ___________________ Date: __________
ID: A
Right Triangles Test practice
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1.
Find the length of the missing side. Leave your answer in simplest radical form.
____ 2.
a. 17 m b. 113 m c. 113 m d. 71 m
a. 29 m b. 445 m c. 7 m d. 203 m
____
____
____
3. A triangle has side lengths of 14 cm, 48 cm, and 50 cm. Classify it as acute, obtuse, or right.
a. right b. acute c. obtuse
4. A triangle has side lengths of 28 in, 4 in, and 31 in. Classify it as acute, obtuse, or right.
a. obtuse b. right c. acute
5. In triangle ABC, ∠A is a right angle and m∠B = 45°. Find BC. If your answer is not an integer, leave it in
simplest radical form.
a. 22 ft b. 22 2 ft c. 11 ft d. 11 2 ft
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Name: ________________________
ID: A
____
6. Find the length of the leg. If your answer is not an integer, leave it in simplest radical form.
a. 128 b. 8 2 c. 16 d. 2 2
____
7. The area of a square garden is 242 m 2 . How long is the diagonal?
a. 121 m b. 11 6 m c. 484 m d. 22 m
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
____ 8.
a. 2 b. 12 3 c.
1
2
d. 6 3
____ 9.
Not drawn to scale
a. x = 10 3, y = 30 c. x = 30 3, y = 10
b. x = 10, y = 30 3 d. x = 30, y = 10 3
2

Name: ________________________
ID: A
____ 10.
a. x = 17, y = 34 3 c. x = 34 3, y = 17
b. x = 34, y = 17 3 d. x = 17 3, y = 34
____ 11. Find the missing value to the nearest hundredth.
a. 44.67° b. 89.67° c. 89.33° d. 51.67°
____ 12. Write the tangent ratios for ∠Y and ∠Z.
a. tan Y = 5 3 ; tan Z = 3 5
b. tan Y =
34
3 ; tan Z = 34
5
c. tan Y =
3
34 ; tan Z = 5
34
d. tan Y = 3 5 ; tan Z = 5 3
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Name: ________________________
ID: A
____ 13. Write the ratios for sin A and cos A.
a. sin A = 3 5 , cos A = 4 5
c. sin A = 3 4 , cos A = 4 5
b. sin A = 4 5 , cos A = 3 5
d. sin A = 3 5 , cos A = 4 3
Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.
____ 14.
a. 3.3 b. 3.1 c. 24.7 d. 8.5
Find the value of x. Round to the nearest tenth.
____ 15.
a. 12.5 b. 10 c. 13 d. 9.7
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Name: ________________________
ID: A
____ 16.
a. 12.9 b. 8.5 c. 12.4 d. 8.1
____ 17.
a. 10.3 b. 31.4 c. 10.7 d. 31.8
Find the value of x. Round to the nearest degree.
____ 18.
a. 41 b. 36 c. 46 d. 44
____ 19.
a. 55 b. 35 c. 30 d. 34
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Name: ________________________
ID: A
____ 20. To approach the runway, a pilot of a small plane must begin a 9° descent starting from a height of 1125 feet
above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of
this approach?
a. 1.3 mi b. 1.4 mi c. 0.2 mi d. 7,191.5 mi
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