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Find the measure of the side labeled x. Round to two decimal places as needed.

Find the measure of the side labeled x. Round to two decimal places as needed.-example-1
User Jjmirks
by
8.1k points

1 Answer

3 votes

The Solution:

Given:

We are asked to find the value of x.

By applying the Trigonometrical Ratio, we have:


\begin{gathered} \sin42.8=(opp)/(hypotenuse)=(x)/(20.9) \\ \\ \sin42.8=(x)/(20.9) \end{gathered}

Cross multiplying, we get


x=20.9\sin42.8=14.2003\approx14.20

Therefore, the correct answer is 14.20

Find the measure of the side labeled x. Round to two decimal places as needed.-example-1
User Spencer Nelson
by
8.3k points

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