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1. |
A school flagpole casts a 16-foot shadow on the lawn. A teacher stood at the shadow's edge and measured the angle of elevation to the top of the pole at 42°. How tall is the pole? |
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A. |
14.4 ft |
B. |
12 ft |
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C. |
5.6 ft |
D. |
17.8 ft |
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Hint |
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2. |
Solve  . Round measures of sides to the nearest tenth and measures of angles to the nearest degree. |
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A. |
E = 64°, d = 12.9, e = 11.4 |
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B. |
E = 64°, d = 14.4, e = 12.9 |
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C. |
E = 64°, d = 11.7 e = 14.4 |
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D. |
E = 64°, d = 12.9, e = 14.4 |
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Hint |
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3. |
Find one positive angle and one negative angle that are coterminal with 310°. |
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A. |
-120°, 400° |
B. |
50°, -670° |
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C. |
-50°, 670° |
D. |
100°, -670° |
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Hint |
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4. |
Find the exact value of sin  , cos , and tan if the terminal side of in standard position contains the point (5, 12). |
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A. |
sin  , cos  , tan  |
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B. |
sin , cos , tan |
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C. |
sin , cos , tan |
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D. |
sin , cos , tan |
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Hint |
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5. |
Solve  ABC. Round measures of the sides to the nearest tenth. |
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A. |
B = 38.1°, C = 85.9°, c = 9.8 |
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B. |
B = 38.1°, C = 85.9°, c = 1.1 |
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C. |
B = 38.1°, C = 85.9°, c = 9.9 |
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D. |
B = 38.1°, C = 85.9°, c = 8.3 |
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Hint |
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6. |
Solve ABC. Round the measure of angles to the nearest tenth. |
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A. |
A = 76.7°, B = 68.2°, C = 35.1° |
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B. |
A = 35.1°, B = 76.7°, C = 68.2° |
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C. |
A = 68.2°, B = 76.7°, C = 35.1° |
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D. |
A = 76.7°, B = 86.2°, C = 35.1° |
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Hint |
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7. |
Find the exact value of sin 510°. |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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8. |
Determine the exact value of cos  . |
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A. |
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B. |
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C. |
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D. |
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Hint |
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9. |
What is the degree measure of the angle through which the hour hand on a clock rotates from 4:00 P.M. to 8:00 P.M.? |
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A. |
–120° |
B. |
90° |
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C. |
–90° |
D. |
120° |
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Hint |
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10. |
For which trigonometric functions is an angle that measures 180° undefined? |
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A. |
csc and sec |
B. |
tan and cot |
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C. |
csc and cot |
D. |
sec and tan |
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Hint |
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11. |
In A = 32°, a =8, and b = 7. Find C. |
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A. |
110.7° |
B. |
30.4° |
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C. |
120.4° |
D. |
20.7° |
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Hint |
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12. |
Suppose a triangle has three sides which measure 10, 13, and 17. What is the measure of the largest angle? |
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A. |
91.3° |
B. |
88.7° |
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C. |
94.4° |
D. |
85.6° |
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Hint |
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13. |
What is the value of Arccos  in radians? |
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A. |
0.59 radians |
B. |
0.41 radians |
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C. |
1.17 radians |
D. |
33.6 radians |
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Hint |
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14. |
Which of the following is not necessarily true concerning the Arcsin function? |
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A. |
[Sin-1  Sin](x) = [Sin Sin-1](x) = x |
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B. |
Its range is the set of angle measures from  |
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C. |
Its domain is the set of real numbers from –1 to 1. |
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D. |
Sin x = y if and only if Sin-1 x = y |
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Hint |
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