Download Accelerated Math 2

Math II
Unit 2 Recovery Test
DO NOT WRITE ON TEST
Multiple Choice (5 points each). Choose the best answer.
_____ 1. In a 30-60-90 right triangle, the length of the short leg is 5. Find the length of
the hypotenuse.
A.
3
5
B. 10
C. 5 2
D. 5 3
_____ 2. The length of a diagonal of a square is 20 inches. What is its perimeter?
A. 40 2 in.
B. 40 2 in.
C. 20 2 in.
D. 30 2 in. .
_____ 3. The side of an equilateral triangle is 18 meters. What is the height of the
triangle?
A. 9 m
B. 20 2 m
C. 9 2 m
D. 9 3 m
_____ 4. Find the diagonal of the rectangle:
12
30
A. 24 3
B. 24 3
D. 12 3
C. 24
_____ 5. The area of an isosceles right triangle is 8 cm 2. What is the perimeter?
A. ( 8 2 + 8) cm
B. ( 8 2 + 16) cm
C. ( 4 2 + 8) cm
D. ( 4 2 + 16) cm
B
_____ 6. Given ABC , what is tan B = __?
5
3
C
A.
3
4
B.
4
3
C.
3
5
4
A
D.
4
5
_____ 7. In a right triangle, sin A =
A.
5
13
B.
5
. What is cos A = __?
13
12
13
C.
5
12
D. Cannot be determined
_____ 8. In right ABC ,  A and  B are the acute angles.
If sin A =
A.
7
, what is cos B = __?
25
7
25
B.
24
25
C.
7
24
D. Cannot be determined
_____ 9. A ladder is leaning against a house so that the top of the ladder is 12 feet
above the ground. The angle with the ground is 51. How far is the base of the ladder
from the house?
A. 7.6 ft
B. 9.7 ft
C. 14.8 ft
D. 15.4 ft
_____10. A man that is 6 ft tall casts a shadow 14 ft long. Find the angle of elevation
of the sun.
A. 23.2
B. 25.4
C. 64.6
D. 66.8
6 ft
???
14 ft
_____ 11. In the figure below, AB = BC. If mB =60, then BC = _?
A. 5
B. 10
C. 5 3
B
D. 10 3
A
_____ 12. Given right triangle ABC. If tan A =0.4663, find AC.
A. 8.4
B. 38.6
C. 31.2
C
10
B
D. 10.4
18
A
C
_____13. In a 30-60-90 right triangle, the length of the long leg is 5 3 in. What is the
length of the hypotenuse?
A. 5 in
B. 5 3 in.
C. 10 in
D. 10 3 in
_____14. In a 45-45-90 right triangle, the length of a leg is 25 in. What is the
length of the hypotenuse?
A. 12.5 2 in
B. 25 2 in
C. 25 3 in
D. 50 in
_____15. What is the length of the diagonal of a square with side length 7 2 ?
A. 7 2
B. 7
C. 14
D. 14 2
B
_____ 16. Given ABC , what is cos A = __?
17
8
A.
8
17
B.
15
17
C.
8
15
D.
15
8
C
15
A
_____ 17. Which trigonometric function is equal to cos 51⁰?
A. cos 39⁰
B. sin 39⁰
C. tan 39⁰
D. sin 51⁰
_____ 18. Your are standing 35 feet from a billboard. The angle of elevation from
your position to the top of the billboard is 58⁰. How tall is the billboard to the
nearest foot?
A. 19 ft.
B. 22 ft.
C. 30 ft.
D. 58 ft.
_____19. Which of the following pairs are equal?
A. tan 31 and sin 59
B. tan 40 and cos 50
C. cos 22 and sin 68
D. cos 70 and sin 70
_____20. What is the area of a right triangle whose perimeter is 36 and whose
sides are x, x + 3, and x + 6?
A. 27
B. 54
C. 81
D. 108
E. 135