Question
Use the tangent to find the length of side QR. Express your answer to the nearest tenth.
The length of side QR is approximately
units.

See  a hypothetical example and complete explantion below.

Explanation:

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Since the use of trigonometric ratios to find the lentgth of a side of a triangle is a common exmple in mathematics, and an important skill to develop to do many calculations, I can help you with my own example.

The tangent ratio is defined for a right triangle as:

           

Then, you need the angle and the length of one of the legs to find the length of the other leg.

Assuming a hypothetical triangle PQR with these features:

m ∠ P = 30ºm ∠ Q = 90º (the right angle)m ∠ R = 60º (from 180º - 90º - 30º = 60º)Length of leg PQ = 10 inches

You can find the length of side QR in this way:

       

                ← answer

The result is rounded to the nearest tenth.

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