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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° 36' 50" |
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C. |
10° 37' 30" |
D. |
10° 36' 30" |
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Hint |
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2. |
Find the measure of the reference angle of -200°. |
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A. |
-200° |
B. |
40° |
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C. |
20° |
D. |
160° |
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Hint |
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3. |
If  find  |
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A. |
 |
B. |
 |
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C. |
 |
D. |
7 |
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Hint |
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4. |
Use a calculator to determine the value of cos 42° 39'. |
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A. |
1.360 |
B. |
0.921 |
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C. |
0.736 |
D. |
0.678 |
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Hint |
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5. |
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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6. |
The terminal side of one angle in standard position contains the point with coordinates (3, -2). The terminal side of another angle in standard position contains the point with coordinates (-3, 2). Compare the tangents of these angles. |
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A. |
They are equal. |
B. |
One does not exist. |
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C. |
One is twice the other. |
D. |
They are not equal. |
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Hint |
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7. |
If the angle the rope makes with the level ground is 46° 30', how long is the rope? |
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 |
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A. |
about 23.6 feet |
B. |
about 47.5 feet |
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C. |
about 25.8 feet |
D. |
about 51.8 feet |
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Hint |
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8. |
The angle of elevation of a ladder leaning against a wall is 55°. The ladder is 30 feet long. How high up the wall does it reach? |
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A. |
about 52.30 ft |
B. |
about 24.57 ft |
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C. |
about 17.21 ft |
D. |
about 42.84 ft |
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Hint |
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9. |
Solve the equation cos x =  . |
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A. |
x equals 150°, 210° or any angle
coterminal with these angles. |
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B. |
x equals 120°, 240° or any angle
coterminal with these angles. |
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C. |
x equals 30°, 330° or any angle
coterminal with these angles. |
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D. |
x equals 60°, 300° or any angle
coterminal with these angles. |
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Hint |
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10. |
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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11. |
Find the area of  if d =14.2, D = 33.6°, and E = 15.2°. |
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 |
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A. |
about 71.9 square units |
B. |
about 35.9 square units |
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C. |
about 46.5 square units |
D. |
about 62.1 square units |
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Hint |
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12. |
Two observers 3 miles apart and facing each other find that the
angles of elevation of a balloon in the same vertical plane with
themselves are 28° and 31° respectively. Find the distance from
the balloon to the observer located at the 28° angle. |
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A. |
about 1.8 miles |
B. |
about 3.5 miles |
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C. |
about 2.4 miles |
D. |
about 1.6 miles |
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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. |
two |
B. |
none |
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C. |
one |
D. |
three |
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Hint |
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14. |
Given and a = 5, b = 2 and A = 115°, find B. |
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A. |
21.3° |
B. |
31.7° |
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C. |
22.5° |
D. |
14.6° |
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Hint |
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15. |
In given A = 100°, b = 7 and c = 6, find a. |
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A. |
about 10.0 |
B. |
about 7.5 |
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C. |
about 6.3 |
D. |
about 8.4 |
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Hint |
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16. |
In given a = 22, b = 39 and c = 19, find B. |
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A. |
about 36.0° |
B. |
about 54.0° |
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C. |
about 144.0° |
D. |
about 126.0° |
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Hint |
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