# Trigonometry Word Problems

Related Topics:
More Lessons for Grade 9 Math

Math Worksheets

Videos, worksheets, solutions, and activities to help Algebra 1 students learn how to solve trigonometry word problems.

Trigonometry Word Problems
In this lesson, students solve word problems using sine, cosine, and tangent. The terms angle of elevation and angle of depression are also introduced in this lesson.
Example: Neil sees a rocket at an angle of elevation of 11°. If Neil is located 5 miles for the rocket's launchpad, how high is the rocket? Round your answer to the nearest hundredth.
Trigonometry Word Problem,
Finding The Height of a Building using tangent, Example 1

Trigonometry Word Problem, Example 2
Use trigonometry to find the elevation gain of a hiker going up a slope.
Example: A hiker is hiking up a 12° slope. If he hikes at a constant rate of 3 mph, how much altitude does he gain in 5 hours of hiking?
Trigonometry Word Problem,
Determining the Speed of a Boat, Example 3
Example: A balloon is hovering 800 ft above a lake. The balloon is observed by the crew of a boat as they look upwards at an angle of 20°. Twenty five seconds later, the crew has to look at an angle of 65° to see the balloon. How fast was the boat traveling?

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.