Question

use soh - cah - toa to find sin(a)

Explanation:

Step1: Recall SOH - CAH - TOA

SOH - CAH - TOA: \(\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}\)

Step2: Identify opposite and hypotenuse for angle \(A\)

For angle \(A\), the opposite side is \(BC = 32\), and the hypotenuse is \(AC=40\)

Step3: Calculate \(\sin(A)\)

\(\sin(A)=\frac{32}{40}\)

Answer:

\(\frac{32}{40}\)