# Worksheet: Trigonometric Ratios in Right Triangles

In this worksheet, we will practice finding the angles of a right triangle and their trigonometric functions using the ratios between the triangleβs side lengths.

Q1:

What is the value of in the given triangle?

• A
• B
• C
• D
• E

Q2:

Find , given is a right-angled triangle at where and .

• A
• B
• C
• D

Q3:

What is the value of in the given triangle?

• A
• B
• C
• D
• E

Q4:

Find , given is a right-angled triangle at where and .

• A
• B
• C
• D

Q5:

What is the value of in the given triangle?

• A
• B1
• C
• D
• E2

Q6:

What is the value of in the given triangle?

• A
• B
• C
• D
• E

Q7:

Find , given is a right-angled triangle at where and .

• A
• B
• C
• D

Q8:

What is the value of in the given triangle?

• A
• B
• C
• D
• E

Q9:

is an isosceles triangle where and . Find the value of given that is the midpoint of .

• A
• B
• C
• D

Q10:

is a triangle, where the ratio between its lengths , , and is . Find .

• A
• B
• C
• D

Q11:

Find the value of given is a right-angled triangle at where and .

• A
• B
• C
• D

Q12:

Find the value of given is a right-angled triangle at where .

• A
• B
• C2
• D

Q13:

Find , given is a right-angled triangle at where and .

• A
• B
• C
• D