Worksheet: Finding a Missing Angle in a Right Triangle

In this worksheet, we will practice finding a missing angle measure in a right triangle using the appropriate inverse trigonometric function for the needed angle given two side lengths.

Q1:

The height of a ski slope is 16 meters and the length is 20 meters. Find the measure of giving the answer to two decimal places.

Q2:

The height of a ski slope is 4 meters and the length is 5 meters. Find the measure of giving the answer to two decimal places.

Q3:

The height of a ski slope is 3 meters and the length is 5 meters. Find the measure of giving the answer to two decimal places.

Q4:

For the given figure, find the measure of angle , in degrees, to two decimal places.

Q5:

For the given figure, find angle , in degrees, to two decimal places.

Q6:

In the given figure, find the measure of angle , in degrees, to two decimal places.

Q7:

For the given figure, find the measure of , in degrees, to two decimal places.

Q8:

For the given figure, find the measure of , in degrees, to two decimal places.

Q9:

For the given figure, find the measures of and , in degrees, to two decimal places.

Q10:

Find the measure of angle , in degrees, to two decimal places.

Q11:

For the given figure, find the measures of and , in degrees, to two decimal places.

Q12:

is a right-angled triangle at where and . Find the length , giving the answer to the nearest centimetre, and the measure of angles and , giving the answer to the nearest degree.

A, ,
B, ,
C, ,
D, ,

Q13:

is a right-angled triangle at where and . Find the length , giving the answer to the nearest centimetre, and the measure of angles and , giving the answer to the nearest degree.

A, ,
B, ,
C, ,
D, ,

Q14:

Given the following figure, find the lengths of and and the measure of in degrees. Give your answers to two decimal places.

A, ,
B, ,
C, ,
D, ,
E, ,

Q15:

Given the following figure, find the lengths of and and the measure of in degrees. Give your answers to two decimal places.

A, ,
B, ,
C, ,
D, ,
E, ,