# Problem Solving Right Triangle Trigonometry In this lesson we will return to right triangle trigonometry. In your previous study of geometry you may have used right triangles to solve problems involving distances, using the Pythagorean Theorem.In this lesson you will solve problems involving right triangles, using your knowledge of angles and trigonometric functions.

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Trigonometry is a mathematical method used to define relations between elements of a triangle.

If we want to find the length of the hypotenuse, c, we can use the cosine ratio: Now we know the lengths of all three sides of this triangle.

In the review questions, you will verify the values of c and a using the Pythagorean Theorem.

We can find the length of the third side using the Pythagorean Theorem: (You may have also recognized the "Pythagorean Triple", 6, 8, 10, instead of carrying out the Pythagorean Theorem.) You can also find the third side using a trigonometric ratio.

Notice that the missing side, b, is adjacent to angle A, and the hypotenuse is given.

The figure below shows each of these kinds of angles.

The angle of elevation is the angle between the horizontal line of sight and the line of sight up to an object.

We will begin by solving right triangles, which means identifying all the measures of all three angles and the lengths of all three sides of a right triangle. You can use your knowledge of the Pythagorean Theorem and the six trigonometric functions to solve a right triangle.

Because a right triangle is a triangle with a 90 degree angle, solving a right triangle requires that you find the measures of one or both of the other angles.

## Comments Problem Solving Right Triangle Trigonometry

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