Question

use soh - cah - toa to find cos(a).

Explanation:

Step1: Recall the cosine formula

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$.

Step2: Identify the adjacent and hypotenuse sides for angle $A$

For angle $A$, the adjacent side is $AB = 30$ and the hypotenuse is $AC=34$.

Step3: Calculate $\cos(A)$

$\cos(A)=\frac{AB}{AC}=\frac{30}{34}=\frac{15}{17}\approx0.88$

Answer:

$0.88$