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1. |
The angle of depression from the top of one building to the top of a neighboring building is 12°. If the buildings are 50 feet apart, what is the difference between the heights of the buildings? Round your answer to the nearest tenth of a foot. |
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A. |
48.9 ft |
B. |
10.4 ft |
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C. |
235.2 ft |
D. |
10.6 ft |
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Hint |
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2. |
is an acute angle of a right triangle. If sin find cos and tan . |
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A. |
cos and tan  |
B. |
cos and tan  |
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C. |
cos and tan  |
D. |
cos and tan  |
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Hint |
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3. |
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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4. |
State the amplitude and the period for y = 2 cos . |
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A. |
amplitude = 2, period = 4 |
B. |
amplitude = -2, period = 180° |
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C. |
amplitude = 2 , period =  |
D. |
amplitude = -2, period = 4 |
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Hint |
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5. |
Find the value of sin 87° to the nearest thousandth. |
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A. |
-0.822 |
B. |
0.999 |
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C. |
19.08 |
D. |
0.052 |
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Hint |
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6. |
In baseball, a pop fly should be easily caught if it stays in the air for 7 seconds. Suppose a ball that is hit can be represented by the function y = –16t2 + 125t + 5, where y is the height after t seconds. Will the ball be considered an easy catch? |
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A. |
yes, because t < 7 |
B. |
no, because t < 7 |
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C. |
yes, because t > 7 |
D. |
no, because t > 7 |
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Hint |
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7. |
John wanted to see the flag as he sang the national anthem, so he looked up at it at an angle of 38°. Then, he decided to get a closer look, so he walked 150 feet toward the flag. If his angle of elevation was now 46°, how high was the flag? |
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A. |
117.2 ft. |
B. |
155.3 ft. |
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C. |
460.9 ft. |
D. |
477.3 ft. |
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Hint |
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8. |
Find sin 330° by drawing a reference angle. |
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A. |
 |
B. |
1 |
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C. |
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D. |
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Hint |
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9. |
Find sin 450° by drawing a reference angle. |
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A. |
 |
B. |
 |
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C. |
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D. |
1 |
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Hint |
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10. |
What is the period for the graph  |
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A. |
180° |
B. |
45° |
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C. |
720° |
D. |
360° |
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Hint |
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