Applying Trigonometric Ratios
Common Core (Geometry)
Common Core for Mathematics
Examples, solutions, videos, and lessons to help High School students learn how to use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Common Core: HSG-SRT.C.8
Trigonometric Functions To Find Unknown Sides of Right Triangles, Ex 1
This video uses information about the length of the hypotenuse of a right triangle as well as a trig value to find the area of the triangle.
Example:
Consider the following triangle. Given the tangent of one angle, find the area of the triangle.
This video uses information about the length of the hypotenuse of a right triangle as well as a trig function to find the length of a missing side.
Example:
A 60 ft ladder is leaning against a wall so that the top of the ladder makes a 15 degrees angle with the wall. How high up the wall does the ladder reach?
This video uses information about the length of the hypotenuse of a right triangle as well as a trig function to find the length of a missing side. Finding the Height of an Object Using Trigonometry, Example 1.
This video shows how to find the height of a balloon by knowing a horizontal distance and an angle. Finding the Height of an Object Using Trigonometry, Example 2
Example:
A telephone pole casts a shadow that is 18 ft long. If the angle of elevation of the sun is 68 degrees, what is the height of the pole in ft? Trigonometry Word Problem, Finding The Height of a Building, Example 1. Trigonometry Word Problem, Example 2.
This video uses a bit of trigonometry to find the elevation gain of a hiker going up a slope. Trigonometry Word Problem, Determining the Speed of a Boat, Example 3.
This video uses a bit of trigonometry to find the speed of a moving boat.
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