Free Printable Quiz # 13: Trigonometry

1.

Using a scientific calculator, what is $\theta$ when sin $\theta$ = 0.5?
(Degrees is assumed as your unit. Please do NOT write the degree symbol, just the angle number; thanks.)

(a)

2.

Using a scientific calculator, what is θ when tan θ= 1?

(Degrees is assumed as your unit. Please do NOT write the degree symbol, just the angle number; thanks.)

(a)

3.

Using a scientific calculator, solve θ when cos θ = 0.5?

(Note: Degrees is assumed as your unit. Please do NOT write the degree symbol, just the angle number; thanks.)

(a)

4.

If $\tan\theta=\frac{3}{4}$ , what is θ?
(Use a scientific calculator at desmos.com/scientific if you do not have one)

a)

$33\degree$

b)

$37\degree$

c)

$63\degree$

d)

not enough information

5.

If $\sin\theta=\frac{4}{5}$ , what is θ?

a)

$37\degree$

b)

$40\degree$

c)

$50\degree$

d)

$53\degree$

6.

Find the ratio for sin C.
Note: <C is the measured angle to help determine the opposite and adjascent sides.

a)

$\frac{21}{35}$

b)

$\frac{28}{21}$

c)

$\frac{35}{28}$

d)

$\frac{28}{35}$

7.

Find the ratio for cos A.

Note: A is the measured angle

a)

$\frac{30}{16}$

b)

$\frac{30}{34}$

c)

$\frac{16}{34}$

8.

Find tangent of θ.

a)

$\frac{8}{12}$

b)

$\frac{23}{12}$

c)

$\frac{12}{8}$

d)

$\frac{12}{23}$

9.

Solve for the missing angle

a)

32°

b)

44°

c)

61°

d)

50°

10.

To solve for the missing angle, what trig equation do we set up?

a)

$x=\sin^{-1}\left(\frac{300}{400}\right)$

b)

$x=\cos^{-1}\left(\frac{300}{400}\right)$

c)

$x=\tan^{-1}\left(\frac{300}{400}\right)$

d)

$x=\tan^{-1}\left(\frac{400}{300}\right)$

11.

You are standing at A, looking up at the airplane. It is 400 m horizontally in front of you and 300 m high. What is the angle of elevation to the airplane as shown in the diagram?

a)

$37\degree$

b)

$38\degree$

c)

$51\degree$

d)

$49\degree$

Quiz # 13: Trigonometry - Finding Angles

Total questions: 11

Worksheet time: 1hrs 25mins

Similar Resources on Wayground