# Lesson Worksheet: Right Triangle Trigonometry: Solving for an Angle Mathematics • 11th Grade

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

Q1:

The height of a ski slope is 16 metres and the length is 20 metres. Find the measure of giving the answer to two decimal places. Q2:

For the given figure, find the measure of , in degrees, to two decimal places. Q3:

In the given figure, find the measure of angle , in degrees, to two decimal places. Q4:

For the given figure, find the measures of and , in degrees, to two decimal places. • A,
• B,
• C,
• D,
• E,

Q5:

Find the values of and giving the answer to the nearest second. • A,
• B,
• C,
• D,

Q6:

Given the following figure, find the measures of angles and and the length of . Give your answers to two decimal places. • A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q7:

is a right-angled triangle at , where , , and . Find the measure of giving the answer to the nearest second.

• A
• B
• C
• D

Q8:

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

• A, ,
• B, ,
• C, ,
• D, ,

Q9:

A 5 m ladder is leaning against a vertical wall such that its base is 2 m from the wall. Work out the angle between the ladder and the floor, giving your answer to two decimal places.

• A
• B
• C
• D

Q10:

A car is going down a ramp that is 10 meters high and 71 meters long. Find the angle between the ramp and the horizontal, giving the answer to the nearest second.

• A
• B
• C
• D
• E