Question

use soh - cah - toa to find sin(θ)

Explanation:

Step1: Recall SOH - CAH - TOA

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

Step2: Identify opposite and hypotenuse

Opposite side to $\theta$ is $6$, hypotenuse:
Use Pythagorean theorem $a^{2}+b^{2}=c^{2}$, $a = 6$, $b = 8$, then $c=\sqrt{6^{2}+8^{2}}=\sqrt{36 + 64}=\sqrt{100}=10$

Step3: Calculate $\sin(\theta)$

$\sin(\theta)=\frac{6}{10}=0.6$

Answer:

$0.6$