Question

find cos(β) in the triangle. choose 1 answer: a $\frac{8}{17}$ b $\frac{15}{8}$ c $\frac{8}{15}$ d 15

Explanation:

Step1: Recall cosine - ratio definition

In a right - triangle, for an acute angle $\beta$, $\cos(\beta)=\frac{\text{adjacent}}{\text{hypotenuse}}$.

Step2: Identify adjacent and hypotenuse

For angle $\beta$ in right - triangle $ABC$, the side adjacent to $\beta$ is $BC = 8$, and the hypotenuse is $AB=17$.

Step3: Calculate $\cos(\beta)$

$\cos(\beta)=\frac{8}{17}$

Answer:

A. $\frac{8}{17}$