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Worksheets

Right Triangles and Trig Review

Total questions: 25

Worksheet time: 3hrs 33mins

Name
Class
Date
1.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
2.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
3.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
4.
State if the three sides lengths form an acute, obtuse, or right triangle:
7 in, 11 in, 13 in
a)
acute
b)
obtuse
c)
right
5.
State if the three sides lengths form an acute, obtuse, or right triangle:
6 mi, 14 mi, 17 mi
a)
acute
b)
obtuse
c)
right
6.
What is the measure of side c?
a)
7
b)
7/√2
c)
7√2
d)
14
7.
What is the measure of a?
a)
3
b)
3√3
c)
6
d)
3√2
8.
You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems)
a)
32√3
b)
16√3
c)
32
d)
16√2
9.
I have been given the long leg in this 30-60-90 triangle.  How do I find the short leg?
a)
Multiply 7 by 2
b)
Multiply 7 by √3
c)
Divide 7 by 2
d)
Divide 7 by √3
10.
A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?
a)
7.5 in
b)
12.4 in
c)
13.6 in 
d)
14.3 in
11.

What is the ratio for Sine?

a)

Hypotenuse/Opposite

b)

Opposite/Hypotenuse

c)

Opposite/Adjacent

d)

Adjacent/Opposite

12.

What is the ratio for Tangent

a)

Opposite/Adjacent

b)

Adjacent/Opposite

c)

Opposite/Hypotenuse

d)

Hypotenuse/Opposite

13.

What is the ratio for Cosine?

a)

Opposite/Hypotenuse

b)

Opposite/Adjacent

c)

Adjacent/Opposite

d)

Adjacent/Hypotenuse

14.

What is the opposite side to <D?

a)

EF

b)

DF

c)

DE

15.

What is the adjacent side to <D?

a)

EF

b)

DF

c)

DE

16.

Which trigonometric ratio should you use?

a)

Tangent Ratio

b)

Sine Ratio

c)

Cosine Ratio

d)

Any ratio

17.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
18.

cos B = ? Remember: Cosine ratio is adjacent/hypotenuse

a)

12/13

b)

12/5

c)

5/13

d)

5/12

19.
What is the correct ratio?
a)
20/12
b)
12/20
c)
12/16
d)
16/12
20.

Find x.

a)

42.9

b)

21

c)

33.3

d)

21.9

21.

Find x.

a)

18.6

b)

21.3

c)

9.2

d)

12.2

22.

Find x.

a)

41.8

b)

48.2

c)

33.7

23.

Find x.

a)

28.9

b)

61.1

c)

64.2

d)

25.8

24.

After traveling a horizontal distance 400m from a runway, a plane is 300m above the ground. Calculate its angle of elevation.

a)

50

b)

0.053

c)

36.9

d)

95

25.
Dustin is stuck at the top of a Ferris wheel. His mother is standing 38 feet from the base of the wheel watching him. If the angle of elevation from Dustin's mom to Dustin is 73o, how far off the ground is Dustin? 
a)
118.2 ft
b)
120.9 ft
c)
124.3 ft
d)
126.5 ft

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