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Math 3 EOC Review #7-Trigonometry

Total questions: 20

Worksheet time: 39mins

Name
Class
Date
1.

Solve for the missing angle

a)

50.5 degrees

b)

12.7 degrees

c)

36.9 degrees

d)

72.2 degrees

2.
A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 
a)
7.5 ft 
b)
15 ft 
c)
26 ft 
d)
30 ft 
3.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
4.
What is the length of u and v in this 30-60-90 triangle?
a)
u = 8 v = 4√3
b)
u = 4√2 v = 8
c)
u = 16 v = 8
d)
u = 4√3 v = 8
5.

A rectangular field is 50 yards wide and 100 yards long. Ethan walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

6.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
7.
Solve for x. Round to the nearest tenth.
a)
9.5
b)
30.8
c)
3.1
8.
Convert 150⁰ to radians
a)
5π/6
b)
3π/4
c)
7π/6
d)
2π/3
9.
Convert the following to degrees:
-8π/5 radians
a)
-288⁰
b)
-260⁰
c)
-275⁰
10.
sin 7π/6
a)
1/2
b)
-1/2
c)
√3/2
d)
-√3/2
11.
tan 7π/4
a)
-1
b)
1
c)
√2/2
d)
undefined
12.
What is the exact coordinates of  3π/4 on the unit circle?
a)
(−√2∕2, √2∕2)
b)
(−√2∕2, −√2∕2)
c)
(−√3∕2, −√2∕2)
d)
(√2∕2, −√2∕2)
13.
cos(π)
a)
√3/2
b)
-√2/2
c)
-1
d)
1
14.
cos(30o)
a)
- ½
b)
√3/2
c)
2√3 /3
d)
½
15.

Convert π3\frac{\pi}{3}  radians to degrees

a)

60⁰

b)

30⁰

c)

90⁰

d)

45⁰

16.
What is 240 degrees in radians? 
a)
π/3
b)
4π/3
c)
5π/3
d)
2π/3
17.

8π3\frac{8\pi}{3}  is equivalent to what degree measure?

a)

480°480\degree  

b)

240°240\degree  

c)

800°800\degree  

d)

24°24\degree  

18.

Convert 35π18\frac{35\pi}{18} radians into degrees

a)

350o

b)

340o

c)

355o

d)

3450

19.

Convert 144o to radians

a)

4π5\frac{4\pi}{5}

b)

5π6\frac{5\pi}{6}

c)

3π5\frac{3\pi}{5}

d)

3π4\frac{3\pi}{4}

20.
Find the length of side W?
sin 68 = 70/w
a)
186.86 m
b)
75.50 m
c)
28.28 m
d)
.01 m