# Problem Solving Right Triangle Trigonometry

Although many computer applications perform trigonometric calculations automatically, all the staff working in these industries will have an excellent knowledge of trigonometry and use it regularly.

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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.

How you solve will depend on how much information is given.

The following examples show two situations: a triangle missing one side, and a triangle missing two sides.

Here, to finish solving the triangle, we only need to find the measure of angle B: Notice that in both examples, one of the two non-right angles was given.

If neither of the two non-right angles is given, you will need new strategy to find the angles. You can use right triangles to find distances, if you know an angle of elevation or an angle of depression.

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.

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.

## Comments Problem Solving Right Triangle Trigonometry

• ###### Section 13.1 - Right Triangle Trigonometry - Solving Right.

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• ###### RIGHT TRIANGLE TRIGONOMETRY - asu.edu

Geometry Notes. Right Triangle Trigonometry Page 7 of 15. Solution Angle B As with the previous problem, the sum of the angles of a triangle is 180 degrees. Thus we calculate 36.6 143.4 180 90 53.4 180 = + = + + = B B B Thus the measure of angle B is 36.6 degrees.…

• ###### Real life applications of trigonometry - Embibe Exams

Trigonometry in flight engineering The wind plays an important role in how and when a plane will arrive where ever needed this is solved using vectors to create a triangle using trigonometry to solve. For example, if a plane is travelling at 234 mph, 45 degrees N of E, and there is a wind blowing due south at 20 mph.…

• ###### Solving Right Triangles Trigonometry - The Problem Site

Solving Right Triangles. Solving right triangles simply means putting what you know to use in finding missing angles and sides in a triangle. Consider the following diagram, in which it is given that C = 90 degrees. If you are given two sides, or an angle and a side, you can solve the triangle.…

• ###### Calculate Quantity of a Right Triangle - WebMath

Calculate Quantity of a Right Triangle - powered by WebMath. Right triangles are the foundation of trigonometry. This page will show you how to calculate just about anything dealing with right triangles.…

• ###### Using Trig Ratios to Solve Triangles Sides -

To solve a triangle means to find the length of all the sides and the measure of all the angles. This lesson will cover how to use trig ratios to find the side lengths of a triangle. There are three steps 1. Choose which trig ratio to use. - Choose either sin, cos, or tan by determining which side you know and which side you are looking for. 2. Substitute - Substitute your information into the trig ratio. 3. Solve…