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Unit 5 Prac Test

Total questions: 23

Worksheet time: 2hrs 39mins

Name
Class
Date
1.
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
a)
210 m
b)
180 m
c)
150 m
d)
79 m
2.

sin 5π/6

a)

√3/2

b)

-√3/2

c)

1/2

d)

-1/2

3.

tan 4π/3

a)

√3

b)

-√3

c)

-√3/3

d)

√3/3

4.
cos 135
a)
√2/2
b)
-√2/2
c)
√3/2
d)
-√3/2
5.
cos 4π/3
a)
-√3/2
b)
√3/2
c)
1/2
d)
-1/2
6.
Set up the problem.
a)
sin(47) = x/28
b)
cos(47) = x/28
c)
tan(47) = x/28
d)
cos(47) = 28/x
7.
Solve for the missing angle
a)
50
b)
0.053
c)
36.9
d)
95
8.
Susan is flying a kite, which gets caught in the top of a tree.  Use the diagram to estimate the height of the tree. 
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
9.
Which equation would you use to solve for x?
a)
sin 62 = 10/x
b)
tan 62 = 10/x
c)
tan 62 = x/10
d)
cos 10 = x/62
10.

Find the measure of angle θ

a)

37°

b)

.01°

c)

54°

d)

90º

11.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
12.

Which is the correct equation you would use to solve for the missing side?

a)

sin 40 = w28\sin\ 40\ =\ \frac{w}{28}

b)

cos 40 = w28\cos\ 40\ =\ \frac{w}{28}

c)

sin 40 = 28w\sin\ 40\ =\ \frac{28}{w}

d)

cos 40=28w\cos\ 40=\frac{28}{w}

13.
a)
34.64
b)
40.00
c)
23.09
d)
38.23
14.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 3√2 y = 3
c)
x = 3√3 y = 6
d)
x = 6 y = 3√2
15.
What is the measure of side b?
a)
5
b)
10√2
c)
5√2
d)
10√3
16.
Find n.
a)
4
b)
6
c)
12
d)
2√3
17.
Find the value of y.
a)
8
b)
4
c)
2√3
d)
8√3
18.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
19.
Convert 100⁰ to radians
a)
5π/9
b)
π/2
c)
5π/8
d)
5π/6
20.

What is 11π/12 in degrees?

a)

164

b)

165

c)

162

d)

163

21.

Convert 510o to Radians

a)

25π / 3

b)

23π / 8

c)

17π / 6

d)

51π / 8

22.

A 13 ft. ladder is leaning against the house. The top of the ladder touches the house at 10 feet above the ground. How far away is the bottom of the ladder from the house?

a)

10 feet

b)

7.5 feet

c)

8.3 feet

d)

3.8 feet

23.
Jake is 6 ft. tall. He is standing outside when the angle of elevation of the sun is 28 degrees. How long would his shadow be? 
a)
5.3 feet
b)
2.8 feet
c)
3.2 feet
d)
11.3 feet