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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. |
5.6 ft |
B. |
14.4 ft |
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C. |
17.8 ft |
D. |
12 ft |
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Hint |
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2. |
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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3. |
Find the area of  XYZ. Round to the nearest tenth. |
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A. |
96.2 units2 |
B. |
81.8 units2 |
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C. |
67.3 units2 |
D. |
78.2 units2 |
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Hint |
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4. |
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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5. |
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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6. |
Determine tan  . |
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A. |
0.6508 |
B. |
0.7203 |
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C. |
0.8571 |
D. |
1.6641 |
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Hint |
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7. |
If tan A = 0.75, what is cos A? |
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A. |
4 |
B. |
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C. |
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D. |
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Hint |
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8. |
What is the radian measurement of 5°? |
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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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9. |
How would the angle 130° be constructed? |
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A. |
Draw the terminal side of the angle 40° counter-clockwise past the negative y-axis. |
B. |
Draw the terminal side of the angle 50° counter-clockwise past the negative x-axis. |
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C. |
Draw the terminal side of the angle 50° counter-clockwise past the positive x-axis. |
D. |
Draw the terminal side of the angle 40° counter-clockwise past the positive y-axis. |
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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. |
sec and tan |
B. |
tan and cot |
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C. |
csc and sec |
D. |
csc and cot |
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Hint |
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11. |
Solve  if A = 36°, B = 67°, and a = 8. |
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A. |
b = 12.53, C = 77°, c = 4.83 |
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B. |
b = 12.53, C = 77°, c = 13.3 |
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C. |
b = 14.89, C = 77°, c = 16.8 |
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D. |
b = 14.89, C = 77°, c = 17.11 |
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Hint |
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12. |
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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13. |
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. |
88.7° |
B. |
91.3° |
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C. |
94.4° |
D. |
85.6° |
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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. |
Its domain is the set of real numbers from –1 to 1. |
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B. |
Its range is the set of angle measures from  |
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C. |
[Sin-1  Sin](x) = [Sin Sin-1](x) = x |
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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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