Question

solve for x. round to the nearest tenth, if necessary.

Explanation:

Step1: Identify trigonometric ratio

We use cosine: $\cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}$

Step2: Substitute known values

$\cos(68^\circ)=\frac{x}{36}$

Step3: Solve for $x$

$x=36\times\cos(68^\circ)$
Calculate $\cos(68^\circ)\approx0.3746$, so $x\approx36\times0.3746$
$x\approx13.5$

Answer:

13.5