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1. |
What is the geometric mean between and 12? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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2. |
Find the value of x. |
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A. |
 |
B. |
12 |
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C. |
 |
D. |
 |
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Hint |
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3. |
The length of one side of an equilateral triangle is 4 centimeters. Find the length of an altitude of the triangle. |
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A. |
cm |
B. |
2 cm |
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C. |
cm |
D. |
cm |
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Hint |
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4. |
Given XY = 12 and = 40°, find YZ to the nearest tenth. |
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 |
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A. |
7.7 |
B. |
10.1 |
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C. |
18.7 |
D. |
9.2 |
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Hint |
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5. |
The angle of depression from the top of one building to the top of a neighboring building is 12°. If the buildings are 50 feet apart, what is the difference between the heights of the buildings? Round your answer to the nearest tenth of a foot. |
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A. |
235.2 ft |
B. |
10.4 ft |
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C. |
10.6 ft |
D. |
48.9 ft |
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Hint |
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6. |
Katie measures the angle of elevation from the ground to the top of an 18-foot-tall tree as 27°. To the nearest tenth of a foot, how far is she from the tree? |
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A. |
35.3 ft |
B. |
9.2 ft |
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C. |
39.6 ft |
D. |
20.2 ft |
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Hint |
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7. |
In and . Find to the nearest tenth. |
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A. |
54.0 |
B. |
62.5 |
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C. |
134.5 |
D. |
45.5 |
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Hint |
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8. |
Which of the following special right triangles can have a Pythagorean triple as the lengths of its sides? |
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A. |
a 45°-45°-90° triangle |
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B. |
a 30°-60°-90° triangle |
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C. |
neither a 45°-45°-90° triangle nor a 30°-60°-90° triangle |
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D. |
both a 45°-45°-90° triangle and a 30°-60°-90° triangle |
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Hint |
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9. |
In the triangle, tan C = _____. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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10. |
In ABC, m A = 45, a = 9, and c = 11. Find m C to the nearest tenth. |
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A. |
30.2 |
B. |
35.3 |
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C. |
59.8 |
D. |
54.7 |
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Hint |
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11. |
In WXY, w = 38, x = 49, and y = 22. Find m Y to the nearest tenth. |
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A. |
48.1 |
B. |
25.5 |
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C. |
154.5 |
D. |
106.4 |
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Hint |
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12. |
In APS, a = 14.3, p = 19.2, and m S = 72.4. Find m P to the nearest tenth. |
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A. |
25 |
B. |
72.6 |
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C. |
65 |
D. |
45.1 |
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Hint |
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13. |
Find n. |
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A. |
11 |
B. |
15 |
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C. |
 |
D. |
3 |
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Hint |
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14. |
Find a. |
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 |
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A. |
4 |
B. |
4 |
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C. |
2 |
D. |
4 |
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Hint |
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