Question

find the missing side. enter sin, cos, or tan. z 28° 15 ?(28°)=\frac{}{z}

Explanation:

Step1: Recall trigonometric ratios

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$.
The angle is $28^{\circ}$, the adjacent side to the $28^{\circ}$ angle is $15$, and the hypotenuse is $z$.

Step2: Identify the correct trigonometric ratio

Since we have the adjacent side ($15$) and the hypotenuse ($z$), we use the cosine ratio. The formula for cosine is $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Substituting $\theta = 28^{\circ}$ and adjacent $=15$, hypotenuse $=z$, we get $\cos(28^{\circ})=\frac{15}{z}$.

Answer:

$\cos$