Question

which equation can be used to solve for b?
o b=(8)tan(30°)
o b = \frac{8}{tan(30°)}
o b=(8)sin(30°)
o b = \frac{8}{sin(30°)}

Explanation:

Step1: Identify triangle parts

Right triangle at C; angle B=30°, adjacent=8ft (BC), opposite=b (AC).

Step2: Apply tangent ratio

$\tan(30^\circ)=\frac{\text{opposite}}{\text{adjacent}}=\frac{b}{8}$

Step3: Solve for b

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

Answer:

A. $b=(8)\tan(30^\circ)$