Question

which equation can be used to solve for b? b 30° c a 8 ft b c o b = (8)tan(30°) o b = 8 / tan(30°) o b = (8)sin(30°) o b = 8 / sin(30°)

Explanation:

Step1: Recall tangent formula

In right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here $\theta = 30^{\circ}$, opposite to $30^{\circ}$ is $b$ and adjacent is 8.

Step2: Set up equation

$\tan(30^{\circ})=\frac{b}{8}$, then $b = 8\tan(30^{\circ})$.

Answer:

$b=(8)\tan(30^{\circ})$