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1. |
Choose the angle measure represented by 5.2 rotations counterclockwise. |
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A. |
-936° |
B. |
-1872° |
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C. |
1872° |
D. |
936° |
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Hint |
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2. |
If the angle -1500° is in standard position, state the quadrant
in which its terminal side lies. |
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A. |
III |
B. |
IV |
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C. |
II |
D. |
I |
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Hint |
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3. |
Using Snell's Law,  = n, and  = 40° and  = 35° 15',
find the index of refraction, n. (Use a calculator.) |
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A. |
about 0.9380 |
B. |
about 0.8979 |
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C. |
about 1.1137 |
D. |
about 1.0660 |
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Hint |
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4. |
If  , find  . |
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A. |
 |
B. |
 |
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C. |
3 |
D. |
 |
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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. |
1 |
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C. |
undefined |
D. |
0 |
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Hint |
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6. |
Use the unit circle to find the value of cos 120°. |
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A. |
-2 |
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 11.79 cm |
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C. |
about 8.09 cm |
D. |
about 18.87 cm |
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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 30°, 330° or any angle
coterminal with these angles. |
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C. |
x equals 120°, 240° 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. |
If f = 9 and d = 13, find the measure of  . |
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 |
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A. |
about 34.7° |
B. |
about 55.3° |
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C. |
about 43.8° |
D. |
about 46.2° |
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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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A. |
about 31.8 units |
B. |
about 25.3 units |
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C. |
about 29.7 units |
D. |
about 40.2 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 3.5 miles |
B. |
about 2.4 miles |
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C. |
about 1.6 miles |
D. |
about 1.8 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. |
one |
B. |
none |
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C. |
three |
D. |
two |
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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. |
22.5° |
B. |
31.7° |
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C. |
14.6° |
D. |
21.3° |
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Hint |
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15. |
Determine the number of solutions for , given a = 2, b = 3,
and c = 6. |
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A. |
none |
B. |
two |
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C. |
three |
D. |
one |
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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 39.6 square units |
B. |
about 7.6 square units |
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C. |
about 15.2 square units |
D. |
about 19.8 square units |
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Hint |
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