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1. |
Change north latitude 10.625° to degrees, minutes, and seconds. |
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A. |
10° 36' 50" |
B. |
10° 36' 30" |
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C. |
10° 37' 30" |
D. |
10° 37' 50" |
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Hint |
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2. |
Choose the angle measure represented by 5.2 rotations counterclockwise. |
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A. |
-1872° |
B. |
936° |
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C. |
-936° |
D. |
1872° |
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Hint |
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3. |
Which of the following is the sine of  |
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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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4. |
Use a calculator to determine the value of cos 42° 39'. |
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A. |
0.678 |
B. |
1.360 |
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C. |
0.736 |
D. |
0.921 |
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Hint |
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5. |
Use the unit circle to find sec (-180°). |
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A. |
1 |
B. |
undefined |
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C. |
0 |
D. |
-1 |
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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. |
One does not exist. |
B. |
They are equal. |
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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. |
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 62°. The ladder is 40 feet long. How far is the base of the ladder from the wall? |
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A. |
about 75.23 ft |
B. |
about 18.78 ft |
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C. |
about 85.20 ft |
D. |
about 35.32 ft |
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Hint |
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9. |
Solve the equation cos x =  . |
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A. |
x equals 120°, 240° or any angle
coterminal with these angles. |
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B. |
x equals 30°, 330° or any angle
coterminal with these angles. |
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C. |
x equals 60°, 300° or any angle
coterminal with these angles. |
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D. |
x equals 150°, 210° 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. |
In  if A = 54.3°, B = 63.8°, and b = 12.2, find a to the
nearest tenth. |
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A. |
about 11.0 units |
B. |
about 11.9 units |
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C. |
about 12.3 units |
D. |
about 11.7 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 2.4 miles |
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C. |
about 3.5 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 = 40°, a = 7, and b = 9. |
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A. |
one |
B. |
none |
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C. |
two |
D. |
three |
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Hint |
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14. |
Determine the number of possible solutions for , given
B = 100°, b = 7, and c = 9. |
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A. |
three |
B. |
two |
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C. |
one |
D. |
none |
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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 8.4 |
B. |
about 7.5 |
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C. |
about 6.3 |
D. |
about 10.0 |
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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 19.8 square units |
B. |
about 39.6 square units |
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C. |
about 15.2 square units |
D. |
about 7.6 square units |
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Hint |
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