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1. |
Write north latitude 44° 10' 26" as a decimal rounded to the nearest thousandth. |
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A. |
44.173° |
B. |
44.177° |
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C. |
44.174° |
D. |
44.172° |
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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° + 180k°, k is an integer |
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B. |
35° + 270k°, k is an integer |
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C. |
35° + 360k°, 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. |
Find cos P. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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4. |
Which is an example of a cofunction relationship? |
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A. |
sin 30° = tan 60° |
B. |
sin 30° = sin 60° |
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C. |
sin 30° = cos 60° |
D. |
sin 30° = cot 60° |
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Hint |
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5. |
Use the unit circle to find sec (-180°). |
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A. |
undefined |
B. |
0 |
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C. |
-1 |
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 8.09 cm |
B. |
about 5.30 cm |
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C. |
about 11.79 cm |
D. |
about 18.87 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. |
If f = 9 and d = 13, find the measure of . |
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A. |
about 34.7° |
B. |
about 46.2° |
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C. |
about 55.3° |
D. |
about 43.8° |
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Hint |
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10. |
If A = 39° and b = 7.2, find c. |
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A. |
about 9.3 units |
B. |
about 8.9 units |
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C. |
about 11.4 units |
D. |
about 5.6 units |
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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 29.7 units |
B. |
about 31.8 units |
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C. |
about 40.2 units |
D. |
about 25.3 units |
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Hint |
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12. |
In if A = 54.3°, B = 63.8°, and b = 12.2, find a to the nearest tenth. |
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A. |
about 12.3 units |
B. |
about 11.7 units |
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C. |
about 11.0 units |
D. |
about 11.9 units |
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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. |
two |
B. |
one |
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C. |
none |
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. |
22.5° |
B. |
14.6° |
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C. |
31.7° |
D. |
21.3° |
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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 8.4 |
D. |
about 6.3 |
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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 54.0° |
B. |
about 144.0° |
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C. |
about 36.0° |
D. |
about 126.0° |
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Hint |
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