# Lesson Worksheet: Trigonometric Ratios Mathematics

In this worksheet, we will practice finding and expressing the values of the three trigonometric ratios—sine, cosine, and tangent—for a given angle in a right triangle.

Q1:

Find , given that is a right triangle at , where and . • A
• B
• C
• D

Q2:

What is the value of in the given triangle? • A
• B
• C
• D
• E

Q3:

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

Q4:

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

Q5:

Find to two decimal places. Q6:

Find to two decimal places. Q7:

Find the length of giving the answer to two decimal places. Q8:

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, ,

Q9:

A kite has a string of length 75 meters. The angle the string makes with the horizontal ground is . Find the height of the kite from the ground giving the answer to two decimal places.

Q10:

In the given figure, given that and , find the lengths of and and the measure of in degrees. Give your answers to two decimal places. • A, ,
• B, ,
• C, ,
• D, ,
• E, ,