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33 votes
Hi, can you help me to solve this exercise, please!!

Hi, can you help me to solve this exercise, please!!-example-1
User Brynn McCullagh
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1 Answer

18 votes
18 votes

So here we have the following right triangle:

To find the value of the measure of the segment DE, we could use the trigonometric functions as follows:

We know that the tangent function relations the opposite side of the angle of a right triangle and its adjacent side. So, we could write:


\begin{gathered} \tan (32)=(DE)/(8) \\ \\ DE=8\tan (32) \\ DE=4.99\approx5.0 \end{gathered}

Therefore, the measure of the segment DE is 5.

Hi, can you help me to solve this exercise, please!!-example-1
User Francisco Souza
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3.2k points