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

Question

asked Jan 25, 2023 132k views

1 Answer

Mishamosher · Answer 1 · 2023-01-30T22:50:17+0000

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.