Download Review Activity - Boise State University

CHAPTER
Find x, y, and z.
1.
2.
3.
y
8
y
z
y
12
4
2 √
30
z
x
6
10
x
x
z
Use a special right triangle to write each trigonometric ratio as a fraction.
4. cos 60°
5. sin 45°
6. tan 60°
Find each length. Round to the nearest hundredth.
7. PR
8. AB
P
A
4.5 m
B
51˚
9. FG
F
G
34˚
9 cm
18˚
R
Q
6.1 in.
C
H
10. Nate built a skateboard ramp that covers a horizontal distance of 10 ft. The ramp
rises a total of 3.5 ft. What angle does the ramp make with the ground? Round to
the nearest degree.
11. An observer at the top of a skyscraper sights a tour bus at an angle of depression
of 61°. The skyscraper is 910 ft tall. What is the horizontal distance from the base of
the skyscraper to the tour bus? Round to the nearest foot.
Find each measure. Round lengths to the nearest tenth and angle measures
to the nearest degree.
12. m∠B
13. RS
A
85˚
4
C
S
35˚
14. m∠M
L
7
R
10
N
11
108˚
15
T
9
M
B
Draw each vector on a coordinate plane. Find its magnitude to the nearest tenth.
15. 〈1, 3〉
16. 〈-4, 1〉
17. 〈2, -3〉
Draw each vector on a coordinate plane. Find the direction of the vector
to the nearest degree.
N
2 mi/h
i/h
18. The velocity of a plane is given by the vector 〈3, 5〉.
20. Kate is rowing across a river. She sets out at a bearing of N 40° E and
paddles at a constant rate of 3.5 mi/h. There is a 2 mi/h current moving
due east. What are Kate’s actual speed and direction? Round the speed
to the nearest tenth and the direction to the nearest degree.
592
Chapter 8 Right Triangles and Trigonometry
40˚
3.
5
m
19. A wind velocity is given by the vector 〈4, 1〉.
W
E
S