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1. |
Change north latitude 10.625° to degrees, minutes, and seconds. |
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A. |
10° 37' 30" |
B. |
10° 36' 50" |
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C. |
10° 37' 50" |
D. |
10° 36' 30" |
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Hint |
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2. |
Identify all angles that are coterminal with angle 35°. |
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A. |
35° + 360k°, k is an integer |
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B. |
35° + 270k°, k is an integer |
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C. |
35° + 180k°, k is an integer |
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D. |
35° + 90k°, k is an integer |
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Hint |
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3. |
If  find  |
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A. |
 |
B. |
 |
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C. |
7 |
D. |
 |
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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. |
0.921 |
B. |
0.678 |
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C. |
1.360 |
D. |
0.736 |
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Hint |
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5. |
Use the unit circle to find the value of cos 120°. |
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A. |
 |
B. |
-2 |
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C. |
 |
D. |
 |
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Hint |
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6. |
Find the value of  for an angle  in standard position if a
point with coordinates (-12, 5) lies on its terminal side. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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7. |
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 18.87 cm |
B. |
about 5.30 cm |
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C. |
about 11.79 cm |
D. |
about 8.09 cm |
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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 42.84 ft |
B. |
about 17.21 ft |
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C. |
about 52.30 ft |
D. |
about 24.57 ft |
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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. |
If A = 39° and b = 7.2, find c. |
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 |
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A. |
about 5.6 units |
B. |
about 11.4 units |
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C. |
about 8.9 units |
D. |
about 9.3 units |
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Hint |
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11. |
In  if A = 54.3°, B = 63.8°, and b = 12.2, find a to the
nearest tenth. |
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A. |
about 11.7 units |
B. |
about 11.0 units |
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C. |
about 12.3 units |
D. |
about 11.9 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 1.6 miles |
B. |
about 2.4 miles |
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C. |
about 3.5 miles |
D. |
about 1.8 miles |
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Hint |
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13. |
Determine the number of possible solutions for , given
B = 100°, b = 7, and c = 9. |
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A. |
none |
B. |
one |
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C. |
two |
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 = 22, b = 39 and c = 19, find B. |
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A. |
about 36.0° |
B. |
about 144.0° |
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C. |
about 54.0° |
D. |
about 126.0° |
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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 19.8 square units |
D. |
about 39.6 square units |
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Hint |
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