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Trig Ratios

Total questions: 25

Worksheet time: 13mins

Name
Class
Date
1.
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
2.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
3.
Solve for the misssing distance
a)
18.9
b)
19.5
c)
47
d)
27.5
4.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
5.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
6.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
7.
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
8.
A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 
a)
25 feet
b)
45 feet 
c)
110 feet 
d)
135 feet 
9.
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 
10.
Which one is the easy way to remember trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
11.
a)
27/36
b)
27/45
c)
45/36
d)
45/27
12.
a)
18/30
b)
24/30
c)
18/24
d)
24/18
13.
a)
14/48
b)
48/50
c)
14/50
d)
48/14
14.
Find the measurement of the missing side indicated
a)
4.39
b)
3.21
c)
2.19
d)
2.05
15.
Give the Ratio for TAN X
a)
Adj/Opp
b)
Opp/Adj
c)
Adj/Hyp
d)
Opp/Hyp
16.
Give the Ratio for COS X
a)
Adj/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Opp/Hyp
17.
Give the Ratio for SIN X
a)
opp/adj
b)
Adj/hyp
c)
Opp/hyp
d)
adj/opp
18.
Find the measurement of the missing side indicated
a)
4.39
b)
3.21
c)
2.19
d)
2.05
19.
Find the measurement of the missing side indicated
a)
4.98
b)
5.98
c)
3.20
d)
4.18
24.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
21.
a)
A
b)
B
c)
C
d)
D
22.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
23.
a)
A
b)
B
c)
C
d)
D
24.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
25.
How do you know which side is the OPPOSITE?
a)
It is next to the right angle
b)
It is opposite the right angle
c)
It is opposite the theta
d)
It is the bottom leg of the triangle