Question

In ACDE, the measure of ZE=90°, the measure of ZC=43°, and CD = 95 feet. Findthe length of EC to the nearest tenth of a foot.95430сEXfeetAnswer:Submit Answer

Answer 1

We have a right triangle.

With repect to the angle 43°, we can say:

EC = adjacent

DE = opposite

DC = hypotenuse

Now,

We need to find x, which is side adjacent.

We know cos of an angle, A, is

Cos A = adjacent/hypotenuse

$\cos 43=\frac{x}{95}$

Cross multiplying, we can write:

$\begin{gathered} x=95\cos 43 \\ x=69.5\text{ feet} \end{gathered}$