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Worksheets

Inverse Trigonometry

Total questions: 15

Worksheet time: 59mins

Name
Class
Date
1.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
2.
Which scenario describes the picture shown?
a)
A 5 foot ramp is 8 feet away from a building.  What is the angle that the ramp makes with the ground?
b)
A 5 foot ramp leans against an 8 foot structure.  What is the angle that the ramp makes with the ground?
c)
An 8 foot ramp leans
against a building 5 feet away.  What angle does the ramp make with the ground?
d)
A 5 foot man is 8 feet away from a building.  What is the angle of elevation?
3.
Solve for the missing angle
a)
32°
b)
44°
c)
61°
d)
50°
4.
Solve for the missing angle.
a)
50.5 degrees
b)
12.7 degrees
c)
36.9 degrees
d)
72.2 degrees
5.

Which inverse trig function would you use to find the measure of Angle A?

a)

inverse sine

b)

inverse cosine

c)

inverse tangent

d)

It is not possible to determine m<A

6.

How would you find the value of the angle denoted by "?"

a)

Apply the inverse sine

b)

Apply the inverse cosine

c)

Apply the inverse tangent

d)

Apply the Pythagorean Theorem

7.

What is the most efficient way to find "x"?

a)

Inverse sine

b)

Inverse cosine

c)

Inverse tangent

d)

Pythagorean Theorem

8.
Find <B?
a)
29.74 degrees
b)
60.26 degrees
c)
34.84 degrees
d)
55.15 degrees
9.
Find <A?
a)
29.74 degrees
b)
60.26 degrees
c)
34.84 degrees
d)
55.15 degrees
10.

Solve the triangle:

a)

AB = 14 , < A = 48.59, <B = 41.41

b)

AB = 10 , <A = 36.87 , <B= 53. 13

c)

AB = 10, <A = 53.13 , <B=36.87

11.

Solve the triangle:

a)

CA = √5 , <A = 48.19 , <C = 41.81

b)

CA = 4 , <A = 41.81 , < C = 48.19

c)

CA = √13 , <C = 33.69 , < A = 56.31

12.
m∠A = ?
a)
36.9⁰
b)
38.7⁰
c)
53.1⁰
d)
30.1⁰
13.
Find the missing angle
a)
15
b)
37
c)
66
d)
72
14.

*Review question* If c2< a2+b2 , What type of triangle do you have?

a)

Acute

b)

Obtuse

c)

Right

d)

None

15.

*Review question*If c2> a2+b2 , What type of triangle do you have?

a)

Acute

b)

Obtuse

c)

Right

d)

None