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Mathematician ______________________________Date:______ Period ____Wiggins
Trigonometry Review
Give a decimal for each ratio. Round to the tenth place.
1. sin 29º = _______
2. cos 81 º = _______
3. tan 35 º = _______
Find the measurement of the angle to the nearest degree.
4. sin _______ º = .1564
5. cos _______ º = .6157
6. tan _______ º = 2.9042
For problems 7-10, refer to ∆ABC, and leave answers in fraction form.
A
7. tan  A = _______
8. sin  A = _______
5
4
9. cos  B = _______
B
C
10. sin  B = _______
3
11. Write the trigonometric ratio for cos  A as a decimal. ________
Solve for the following. Round side lengths to tenths and angles to whole numbers.
12. x = ______
13. x = ______
14. x = ______
A
15. x = ______
X
A
A
32 
7
x
B
C
6
4
X
18.
15
24. 1 25.
2
2
1
2
3
2
26.
1
X
6
8
X
3. .7
4. 9
5. 52
6. 71
7. ¾
17. 24,66 18. 37 19. 31.7 m. 20. 32º
x = _______
6
Y
25 
Answers:
1. .5
2. .2
15. 56 16. 2.1
C
B
17. x = ______
Y = ______
5
4
62  C
B
16. x = ______
X
6
x
10
8. 3/5
21. 48º
9. 3/5 10.4/5 11. .8 12. 44
22. 206.0 m. 23. 20.1 m.
13. 7.5 14. 7.1
19. When an angle of elevation is 54º, a building casts a shadow
that is 23 meters long. To the nearest meter,
how high is the building?
x
54 
23 m
20. A 5-meter vertical pole casts an 8 meter
shadow. What is the angle of elevation to
the nearest degree?
21. Find the angle the 12 foot ladder
makes with the ground if it is placed
8 feet from the house.
5m
x
8m
22. What is the depth of the treasure chest ?
23. How tall is the tree ?
31 
400 m
76 
5m
24. The value of tan 45º is always equal to ______.
25. Use a special right triangle to write the following as fractions:
cos 45º
sin 30º
cos 30º
26. Use the trigonometric ratio cos A = .6 to determine which angle of the triangle
is  A.