Question

For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.

A. 26.3
B. 29.7
C. 41.6
D. 32.8

Answer 1

Answer: D) 32.8

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Work Shown:

We'll apply the tangent ratio

tan(angle) = opposite/adjacent

tan(64) = x/16

16*tan(64) = x

x = 16*tan(64)

x = 32.8048614652688

x = 32.8

Make sure your calculator is in degree mode. One way to check is to compute tan(45) and you should get 1 as a result.