# Solving Right Triangles Word Problems

Remember that you have to use the keys 2ND and TAN on your calculator.Look at the hundredths place to round to the nearest tenth. You may have been confused as to which ratio corresponds to which trigonometric function.In this example, θ represents the angle of elevation.

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One way to remember this triangle is to note that the hypotenuse is You can construct another triangle that you can use to find all of the trigonometric functions for 30° and 60°.

Start with an equilateral triangle with side lengths equal to 2 units.

If you split the equilateral triangle down the middle, you produce two triangles with 30°, 60° and 90° angles. They both have a hypotenuse of length 2 and a base of length 1.

You can use this triangle (which is sometimes called a 30° - 60° - 90° triangle) to find all of the trigonometric functions for 30° and 60°.

The simplest triangle we can use that has that ratio would be the triangle that has an opposite side of length 3 and a hypotenuse of length 4.

Determining all of the side lengths and angle measures of a right triangle is known as solving a right triangle.The other end is at a point that is a horizontal distance of 28 feet away, as shown in the diagram.What is the angle of elevation to the nearest tenth of a degree?Because the two acute angles are equal, the legs must have the same length, for example, 1 unit.You can use this triangle (which is sometimes called a 45° - 45° - 90° triangle) to find all of the trigonometric functions for 45°.As a general rule, you need to use a calculator to find the values of the trigonometric functions for any particular angle measure.However, angles that measure 30°, 45°, and 60°—which you will see in many problems and applications—are special.Solving the equation and rounding to the nearest tenth gives you Sometimes you may be given enough information about a right triangle to solve the triangle, but that information may not include the measures of the acute angles.In this situation, you will need to use the inverse trigonometric function keys on your calculator to solve the triangle.You want to find the measure of an angle that gives you a certain tangent value.This means that you need to find the inverse tangent.

## Comments Solving Right Triangles Word Problems

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