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Unit 8 Test Review

Total questions: 25

Worksheet time: 48mins

Name
Class
Date
1.

SHOW WORK


Find the length of the missing side x...


Round your answer to 1 decimal place.


Is this a special right triangle?

a)

3.8 cm

b)

28.8 cm

c)

3.9 cm

d)

3.6 cm

2.

SHOW WORK


Find the length of the missing side x...


Round your answer to 1 decimal place.


Is this a special right triangle?

a)

10.3 cm

b)

10.2 cm

c)

17.5 cm

d)

8.6 cm

3.

Which trig ratio would you use for the following?

a)

Sin

b)

Cos

c)

Tan

d)

You would not be able to use trigonometry

4.
What equation can be used to solve for x?
a)
Sin(40°)= x/40 
b)
Sin(40º)=x/19
c)
Cos(40º)=x/19
d)
Tan(40°)=19/x
5.

SHOW WORK


Solve for the missing angle.


Remember, when solving for an angle measure, we use inverse trigonometry.

a)

50

b)

0.053

c)

36.9

d)

95

6.
Give the Ratio for SIN X
a)
opp/adj
b)
Adj/hyp
c)
Opp/hyp
d)
adj/opp
7.
Give the Ratio for COS X
a)
Adj/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Opp/Hyp
8.
Give the Ratio for TAN X
a)
Adj/Opp
b)
Opp/Adj
c)
Adj/Hyp
d)
Opp/Hyp
9.

SHOW WORK


Find the measure of the indicated angle (?) round to the nearest tenth.


Remember, when solving for an angle measure, we use inverse trigonometry.

a)

9.4

b)

55.2

c)

20.15

d)

19.4

10.

SHOW WORK


Solve for the missing angle.


Remember, when solving for an angle measure, we use inverse trigonometry.

a)

32°

b)

44°

c)

61°

d)

50°

11.
Choose the correct ratio.
a)
sinZ=5/13
b)
sinX=5/13
c)
cosX=13/12
d)
tanZ=12/5
12.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
13.
Find Cos(A) as a decimal rounded the the nearest ten-thousandth.
a)
.4706
b)
1.875
c)
.8824
d)
.5333
14.

In this special right triangle, find the length of the other leg.

a)

535\sqrt{3}

b)

10

c)

525\sqrt{2}

d)

2.5

15.

In this special right triangle, find the length of the hypotenuse.

a)

535\sqrt{3}

b)

10

c)

525\sqrt{2}

d)

2.5

16.

In this special right triangle, find the length of the other leg.

a)

10

b)

20

c)

 20320\sqrt{3}  

d)

5

17.

In this special right triangle, find the length of the hypotenuse.

a)

10

b)

20

c)

 20320\sqrt{3}  

d)

5

18.

In this special right triangle, find the length of the short leg.

a)

11

b)

33

c)

22222\sqrt{2}

d)

11311\sqrt{3}

19.

In this special right triangle, find the length of the long leg.

a)

11

b)

33

c)

22222\sqrt{2}

d)

11311\sqrt{3}

20.

In this special right triangle, find the length of the legs.

a)

14

b)

14214\sqrt{2}

c)

7

d)

3.5

21.

In this special right triangle, find the length of the hypotenuse.

a)

3

b)

6

c)

626\sqrt{2}

d)

636\sqrt{3}

e)

12

22.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
23.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
24.

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

25.
A plane takes off at an angle of 30 degrees and reaches a height of 10 miles.  What is the diagonal distance it has traveled from take off to it's current position?
a)
15 miles
b)
38 miles
c)
17 miles
d)
20 miles