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1. |
Solve  . Round measures of sides to the nearest tenth and measures of angles to the nearest degree. |
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A. |
A = 72°, b = 1.3, c = 3.9 |
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B. |
A = 72°, b = 3.9, c = 4.1 |
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C. |
A = 72°, b = 1.3, c = 4.1 |
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D. |
A = 72°, b = 4.1, c = 1.3 |
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Hint |
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2. |
Change  to degrees. |
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A. |
180° |
B. |
135° |
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C. |
45° |
D. |
90° |
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Hint |
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3. |
Find the exact value of sin 405°. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
- 1 |
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Hint |
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4. |
Find the area of  XYZ. Round to the nearest tenth. |
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A. |
78.2 units2 |
B. |
81.8 units2 |
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C. |
67.3 units2 |
D. |
96.2 units2 |
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Hint |
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5. |
Find the remaining measures of ABC. Round measures of the sides to the nearest tenth. |
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A. |
B = 51.0°, C = 14°, c = 4.6 |
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B. |
B = 51.0°, C = 14°, c = 4.7 |
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C. |
B = 51.5°, C = 13.5°, c = 4.7 |
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D. |
B = 51.5°, C = 13.5°, c = 4.6 |
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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 = 86.2°, C = 35.1° |
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B. |
A = 76.7°, B = 68.2°, C = 35.1° |
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C. |
A = 68.2°, B = 76.7°, C = 35.1° |
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D. |
A = 35.1°, B = 76.7°, C = 68.2° |
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Hint |
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7. |
Find sin  , cos , and tan . |
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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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8. |
A long ramp that leads to a building entrance is 45 feet. The stairs to the entrance have a vertical height of 6 feet. What is the angle of incline of the ramp? |
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A. |
about 8° |
B. |
about 10° |
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C. |
about 4° |
D. |
about 18° |
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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. |
–120° |
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C. |
90° |
D. |
–90° |
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Hint |
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10. |
Find the exact value of  . |
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A. |
–2 |
B. |
 |
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C. |
– |
D. |
 |
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Hint |
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11. |
In which of the following cases should the procedure begin with the law of cosines? |
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A. |
Given: two sides and an angle opposite one of them |
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B. |
Given: two angles and any side |
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C. |
Given: one side and three angles |
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D. |
Given: two sides and their included angle |
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Hint |
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12. |
Find the exact value of  . |
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A. |
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B. |
2 |
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C. |
 |
D. |
 |
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Hint |
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13. |
Suppose Alex wants to kick a ball over a 10-foot fence. Assuming that gravity has no effect, at what angle would he have to kick the ball if he were standing 6 feet away from the fence? |
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A. |
36.9° |
B. |
59.0° |
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C. |
53.1° |
D. |
31.0° |
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Hint |
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14. |
Simplify [tan (Arc tan x)] × [(Arc sin (sin y)]. |
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A. |
x2y2 |
B. |
 |
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C. |
x |
D. |
xy |
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Hint |
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