# Lesson Worksheet: Right Triangle Trigonometry: Solving for a Side Mathematics • 11th Grade

In this worksheet, we will practice finding the value of a missing side length in a right triangle by choosing the appropriate trigonometric ratio for a given angle.

Q1:

Find to two decimal places. Q2:

Find to two decimal places. Q3:

Find the length of giving the answer to two decimal places. Q4:

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, ,

Q5:

Find the length of , given that is a right triangle at , where and .

Q6:

is an isosceles triangle where , and . Find the length of giving the answer to one decimal place. Q7:

A 23 ft ladder leans against a building such that the angle between the ground and the ladder is . How high does the ladder reach up the side of the building? Give your answer to two decimal places.

Q8:

A kite, which is at a perpendicular height of 44 m, is attached to a string inclined at to the horizontal. Find the length of the string accurate to one decimal place.

Q9:

is a rectangle where and . Find the lengths of and giving the answer to three decimal places.

• A,
• B,
• C,
• D,

Q10:

A swimming pool is in the shape of a trapezoid. Find the area of the trapezoid giving the answer to the nearest square meter. This lesson includes 31 additional questions and 189 additional question variations for subscribers.