Question

find the missing side.
round to the nearest tenth.
remember: sohcahtoa

Explanation:

Step1: Identify the trigonometric ratio

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here, $\theta = 29^{\circ}$, the adjacent side $a = 28$, and the hypotenuse $z$. So, $\cos(29^{\circ})=\frac{28}{z}$.

Step2: Solve for $z$

Rearrange the formula to get $z=\frac{28}{\cos(29^{\circ})}$.
We know that $\cos(29^{\circ})\approx0.8746$. Then $z=\frac{28}{0.8746}\approx32.0$.

Answer:

$32.0$