In these worksheets, students will solve word problems by using trigonometry.

#### These types of problems focus on the lengths of sides and angles within a triangle. After all that is what trigonometry is all about. Start to approach these problems by focusing on understanding the figures that are involved and model this by drawing diagrams. On the diagram highlight all the information that we know about each stage of the diagram. Make sure that if a unit of measure is attached to that information that you show that as well. We then start to analyze the system and identify if Pythagorean Theorem comes into play or if we can apply various trigonometric functions to determine the angle of elevation or depression.

In these worksheets, your students will solve word problems involving trigonometry. Diagrams are included to accompany some problems. These are moderately complex problems and a sound understanding of trigonometry is required in order for students to be successful with these worksheets. There are six worksheets in this set. This set of worksheets contains lessons, step-by-step solutions to sample problems, and both simple and more complex problems. It also includes ample worksheets for students to practice independently. Students may require extra paper on which to do their calculations. Most worksheets contain between eight and eleven problems. When finished with this set of worksheets, students will be able to solve word problems that involve trigonometry. These worksheets explain how to solve word problems by using trigonometry. Sample problems are solved and practice problems are provided.

# Trigonometry Word Problems Worksheets

## Trigonometric Word Problem Lesson

This worksheet explains how to solve word problems by using trigonometry. A sample problem is solved, and two practice problems are provided.

## Worksheet

You are stationed at a radar base and you observe an unidentified plane at an altitude h = 2000 m flying towards your radar base at an angle of elevation = 30o. After exactly one minute, your radar sweep reveals that the plane is now at an angle of elevation = 60o maintaining the same altitude. What is the speed (in m/s) of the plane?

## Practice

A fisherman drops a boat anchor and pays out 93 meter of anchor rope. The rope makes an angle of depression of 59.5 degrees with the horizontal. Assuming a level bottom, how deep in the water?

## Review and Practice

What is the measure of the diagonal of the rectangle ABHG ?

## Quiz

A tree in a back yard is to be cut down. The base of the tree from the house is 23 meters away, and the angle of elevation from the house to the top of the tree is 45.5 degrees. Could the tree hit the house when it is cut down?

## Check

An aerial 30 meter tail is to be supported by 2 guy wires each 50 meter from its base. How long will each guy wire be?