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1. |
Change north latitude 10.625° to degrees, minutes, and seconds. |
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A. |
10° 37' 50" |
B. |
10° 37' 30" |
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C. |
10° 36' 30" |
D. |
10° 36' 50" |
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Hint |
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2. |
Find the measure of the reference angle of -200°. |
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A. |
160° |
B. |
40° |
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C. |
20° |
D. |
-200° |
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Hint |
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3. |
If  find  |
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A. |
7 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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4. |
Find cos P. |
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 |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
Use the unit circle to find sec (-180°). |
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A. |
0 |
B. |
undefined |
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C. |
-1 |
D. |
1 |
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Hint |
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6. |
Suppose  is an angle in standard position whose terminal side
lies in Quadrant II. If  , find |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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7. |
If P = 27° and r = 11, find p. |
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 |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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8. |
A regular pentagon is inscribed in a circle with diameter 20 centimeters. The apothem of a regular polygon is the measure of a line segment from the center of the polygon to the midpint of one of its sides. Find the apothem of the pentagon. |
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A. |
about 5.30 cm |
B. |
about 8.09 cm |
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C. |
about 18.87 cm |
D. |
about 11.79 cm |
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Hint |
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9. |
Evaluate sin (arctan  ). Assume that the angle is in Quadrant I. |
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A. |
 |
B. |
|
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C. |
 |
D. |
 |
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Hint |
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10. |
A security light is being installed outside a loading dock. The light is mounted 25 feet above the ground. The light must be placed at an angle so that it illuminates a parking lot. If the end of the parking lot is 125 feet from the loading dock, what should be the angle of depression of the light? |
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A. |
about 78.5° |
B. |
about 78.7° |
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C. |
about 11.5° |
D. |
about 11.3° |
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Hint |
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11. |
In  find c if A = 36°, B = 101°, and b = 42.7. |
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 |
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A. |
about 29.7 units |
B. |
about 40.2 units |
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C. |
about 25.3 units |
D. |
about 31.8 units |
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Hint |
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12. |
Find the area of if a = 5.2, c = 13.6, and B = 46° 30'. |
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 |
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A. |
about 25.6 square units |
B. |
about 48.7 square units |
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C. |
about 24.3 square units |
D. |
about 51.3 square units |
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Hint |
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13. |
Determine the number of possible solutions for , given
a = 7, b = 3, and A = 115°. |
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A. |
three |
B. |
none |
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C. |
two |
D. |
one |
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Hint |
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14. |
Determine the number of possible solutions for , given A = 50°,
a = 38, and c = 49. |
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A. |
none |
B. |
one |
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C. |
three |
D. |
two |
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Hint |
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15. |
In given a = 22, b = 39 and c = 19, find B. |
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A. |
about 144.0° |
B. |
about 126.0° |
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C. |
about 36.0° |
D. |
about 54.0° |
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Hint |
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16. |
Find the area of if a = 5, b = 8, and c = 10. |
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A. |
about 7.6 square units |
B. |
about 15.2 square units |
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C. |
about 39.6 square units |
D. |
about 19.8 square units |
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Hint |
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