Question

find the missing side.
enter sin, cos, or tan.
remember: sohcahtoa

Explanation:

Step1: Recall trigonometric ratios

SOH - $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$, CAH - $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$, TOA - $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$.

Step2: Identify sides relative to the angle

For the angle $28^{\circ}$, the adjacent side is $15$ and the hypotenuse is $z$.
Using CAH (since $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$), we have $\cos(28^{\circ})=\frac{15}{z}$.

Answer:

$\cos$