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Using Trig ratios to solve rt. triangles

Total questions: 18

Worksheet time: 18mins

Name
Class
Date
1.

Solve for x. Round your answer to the nearest hundredth

a)

1.68

b)

2.38

c)

1.29

d)

1.53

2.

Solve for x. Round your answer to the nearest hundredth.

a)

12

b)

10.39

c)

5.20

d)

3

3.

Solve for x. Round your answer to the nearest hundredth.

a)

5.13

b)

15.96

c)

41.21

d)

43.86

4.

Calculate the measure of angle X. Round your answer to the nearest hundredth.

a)

56.25°56.25\degree

b)

33.75°33.75\degree

c)

29.05°29.05\degree

d)

23.45°23.45\degree

5.

Calculate the measure of angle X. Round your answer to the nearest hundredth.

a)

32.23°32.23\degree

b)

57.77°57.77\degree

c)

28.07°28.07\degree

d)

23.02°23.02\degree

6.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
7.
A triangle's angles add up to...
a)
90 Degrees
b)
180 Degrees
c)
360 Degrees
d)
OVER 9000 Degrees
8.
To use the Pythagorean Theorem, we need...
a)
A triangle with 2 known angles
b)
A right triangle with 2 known angles
c)
A triangle with 2 known sides
d)
A right triangle with 2 known sides
9.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
10.
Set up the problem...
a)
sin X = 41/28
b)
tan X = 41/28
c)
cos X = 28/41
d)
sin X = 28/41
11.
Solve for the missing angle
a)
50
b)
0.053
c)
36.9
d)
95
12.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
.008o
13.
Find the measure of the missing angle.
a)
49o
b)
50o
c)
41o
d)
33o
14.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
15.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
16.

Which trig function would you use to solve for x?

a)

sin40=x19\sin40=\frac{x}{19}

b)

cos40=x19\cos40=\frac{x}{19}

c)

tan40=x19\tan40=\frac{x}{19}

17.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
18.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9