# Solving Right Triangles Word Problems

In this example, θ represents the angle of elevation.

It has an opposite side of length 2 and an adjacent side of length 5.

You could have used a triangle that has an opposite side of length 4 and an adjacent side of length 10. In this right triangle, because , the ratio of the opposite side to the hypotenuse is .

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.

In the example above, you were given one side and an acute angle.

In the next one, you’re given two sides and asked to find an angle.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. Remember that the two acute angles will give you different trigonometric function values.Use the Pythagorean Theorem to find the opposite side length. The correct answer is Some problems may provide you with the values of two trigonometric ratios for one angle and ask you to find the value of other ratios.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.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?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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