| |
| |
1. |
What is the geometric mean between and 12? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
2. |
What are the measures of the sides of a right triangle? |
| |
|
A. |
9, 11, 14 |
B. |
4, 9, 10 |
| |
|
C. |
7.5, 18, 19.5 |
D. |
4.5, 5.5, 7.5 |
| |
|
Hint |
|
| |
3. |
Which set of numbers is a Pythagorean triple? |
| |
|
A. |
8, 10, 12 |
B. |
10, 20, 30 |
| |
|
C. |
9, 40, 41 |
D. |
10, 15, 18 |
| |
|
Hint |
|
| |
4. |
The measures of both legs of a right triangle are 4. What is the measure of the hypotenuse? |
| |
|
A. |
8 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
The length of one side of a square is 6 inches. What is the length of a diagonal? |
| |
|
A. |
12 in. |
B. |
in. |
| |
|
C. |
3 in. |
D. |
 |
| |
|
Hint |
|
| |
6. |
In the triangle, sin A = ____. |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
5 |
D. |
 |
| |
|
Hint |
|
| |
7. |
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? |
| |
|
A. |
9.2 ft |
B. |
39.6 ft |
| |
|
C. |
35.3 ft |
D. |
20.2 ft |
| |
|
Hint |
|
| |
8. |
In and h =5. Find g to the nearest tenth. |
| |
|
A. |
1.4 |
B. |
18.3 |
| |
|
C. |
5.7 |
D. |
4.4 |
| |
|
Hint |
|
| |
9. |
In , n = 8, m = 16, and = 32. Find to the nearest tenth. |
| |
|
A. |
15.4 |
B. |
123.3 |
| |
|
C. |
24.7 |
D. |
132.6 |
| |
|
Hint |
|
| |
10. |
If cos A = 0.8674, what is the measure of A to the nearest tenth of a degree? |
| |
|
A. |
0.5° |
B. |
29.8° |
| |
|
C. |
60.2° |
D. |
40.9° |
| |
|
Hint |
|
| |
11. |
In XYZ, m Y = 68, m Z = 53, and y = 17. Find z to the nearest tenth. |
| |
|
A. |
15.8 |
B. |
13.6 |
| |
|
C. |
19.7 |
D. |
14.6 |
| |
|
Hint |
|
| |
12. |
In APS, a = 14.3, p = 19.2, and m S = 72.4. Find m P to the nearest tenth. |
| |
|
A. |
65 |
B. |
72.6 |
| |
|
C. |
45.1 |
D. |
25 |
| |
|
Hint |
|
| |
13. |
Find the geometric mean between 28 and 32. Round to the nearest tenth if necessary. |
| |
|
A. |
29.9 |
B. |
10.9 |
| |
|
C. |
7.7 |
D. |
30 |
| |
|
Hint |
|
| |
14. |
ARCHITECTURE The observation deck of the John Hancock Center is 1030 feet above the ground. The Skydeck of the Sears Tower is 1335 feet above the ground. The John Hancock Center is 1.7 miles from the Sears Tower. What is the angle of elevation of someone standing on the observation deck of the John Hancock Center looking up to the Skydeck of the Sears Tower? |
| |
|
A. |
37.7° |
B. |
1.9° |
| |
|
C. |
8.5° |
D. |
6.5° |
| |
|
Hint |
|
|
|