Question

fall 2025 geometry b wwva
solving for side lengths of right triangles
which equation can be used to solve for b?
b = (8)tan(30°)
b = (8)sin(30°)
b = \frac{8}{tan(30°)}
b = \frac{8}{sin(30°)}

Explanation:

Step1: Recall tangent - ratio definition

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Given an angle of $30^{\circ}$ and the adjacent side to this angle is $8$, and the opposite side is $b$.
So, $\tan(30^{\circ})=\frac{b}{8}$.

Step2: Solve for $b$

Cross - multiply the equation $\tan(30^{\circ})=\frac{b}{8}$ to get $b = 8\tan(30^{\circ})$.

Answer:

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