In this lesson, we will learn the trigonometric functions (sine,
cosine, tangent) and how to solve word problems using trigonometry.
Related Topics: More Lessons on Trigonometry
Calculate the value of cos θ in the following triangle.
Use the Pythagorean theorem to evaluate the length of PR.
Calculate the length of the side x, given that tan θ = 0.4
Calculate the length of the side x, given that sin θ = 0.6
Using the Pythagorean theorem:
The following video shows how to use the trigonometric ratio, tangent, to find the height of a balloon.
This video shows how to use the trigonometric ratio, sine, to
find the elevation gain of a hiker going up a slope.
A hiker is hiking up a 12 degrees slope. If he hikes at a constant rate of 3 mph, how much altitude does he gain in 5 hours of hiking?
How to Use Cosine to Solve a Word Problem.
A ramp is pulled out of the back of truck. There is a 38 degrees angle between the ramp and the pavement.If the distance from the end of the ramp to to the back of the truck is 10 feet. How long is the ramp?
The following video shows how to use trigonometric ratio, tangent, to find the height of a building
The following video shows how to solve trigonometry word problems
Neil sees a rocket at an angle of elevation of 11 degrees. If Neil is located at 5 miles from the rocket launch pad, how high is the rocket?
Trigonometry Word Problem,
Determining the Speed of a Boat
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 0f 20 degrees. 25 seconds later, the crew had to look at an angle of 65 degrees to see the balloon. How fast was the boat traveling?
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