# Lesson Worksheet: The Tangent Ratio Mathematics

In this worksheet, we will practice finding an angle in a right triangle using the tangent ratio.

Q1:

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

Q2:

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

• A
• B
• C
• D

Q3:

is a rhombus where and . Find giving the answer to the nearest second.

• A
• B
• C
• D

Q4:

is a right triangle at where and . Find the length of giving the answer to two decimal places.

Q5:

is a triangle where , , , and . Find giving the answer to the nearest second.

• A
• B
• C
• D

Q6:

The following figure represents a line segment joining two points and . Find the measure of the angle included between and the giving the answer to the nearest second. • A
• B
• C
• D

Q7:

A flagpole 5.9 meters tall casts a 2.8-meter shadow. Find the angle of inclination of the sun giving the answer to the nearest minute.

• A
• B
• C
• D

Q8:

Find the value of , given is an equilateral triangle, where point lies on , , , and . • A
• B
• C
• D

Q9:

Find to two decimal places. Q10:

In the given figure, and . What is? • A
• B
• C
• D
• E

This lesson includes 31 additional questions and 291 additional question variations for subscribers.