ExamView - Right triangles Practice test.tst

Name: ________________________ Class: ___________________ Date: __________
ID: A
Right Triangles Test practice
1. How long is a string reaching from the top of a 14-ft pole to a point on the ground that is 5 ft from the base of the
pole?
a. 181 ft c. 211 ft
b. 171 ft d. 221 ft
Find the length of the missing side. Leave your answer in simplest radical form.
2.
6. 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.
3.
7. Find the length of the leg. If your answer is not an
integer, leave it in simplest radical form.
4. A triangle has side lengths of 20 cm, 99 cm, and
106 cm. Classify it as acute, obtuse, or right.
5. A triangle has side lengths of 32 in, 19 in, and 33
in. Classify it as acute, obtuse, or right.
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
8. 9.
Not drawn to scale
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Name: ________________________
ID: A
10.
12. Write the ratios for sin A and cos A.
11. Write the tangent ratios for ∠Y and ∠Z.
13.
Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.
Find the value of x. Round to the nearest tenth.
14. 15.
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Name: ________________________
ID: A
16.
Find the value of x. Round to the nearest degree.
17.
19. A baseball "diamond" is a square with a side length
of 90 feet. How far is the throw from third base to
first base? (Round your answer to one decimal
place.)
18.
20. An airplane is flying at an elevation of 1500 feet.
What is the airplane's angle of elevation from the
runway when it is 5000 feet from the runway?
Explain.
21. The area of a square garden is 98 m 2 . How long is
the diagonal?
22. Use your calculator to find cos 23°.
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Name: ________________________
ID: A
23. Find the missing value to the nearest tenth.
24. Viola drives 190 meters up a hill that makes an
angle of 6° with the horizontal. To the nearest tenth
of a meter, what horizontal distance has she
covered?
25. Find the missing value to the nearest hundredth.
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ID: A
Right Triangles Test practice
Answer Section
1. D
2. 5 10 m
3. 3 21 ft
4. obtuse
5. acute
6. 11 2 ft
7. 5 2
8. 7 3
9. x = 33, y = 11 3
10. x = 13 3, y = 26
11. tan Y = 7 6 ; tan Z = 6 7
12. sin A = 63 16
, cos A =
65 65
13. 13.7
14. 17
15. 8.5
16. 55.6
17. 30
18. 42
19. 127.3 ft
20. About 72.5 o . cos x = 1500
5000 so x = cos Ê
−1 1500 ˆ
Ë
Á 5000 ¯
˜ ≈ 72.5o
21. 14 m
22. about 0.921
23. 81.6°
24. 189 m
25. 86.19°
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