Question

find: sin b
the figure is not drawn to scale.
right triangle with legs 48 (opposite to b), 64 (adjacent to b), hypotenuse 80
answer options: $\frac{64}{48}$, $\frac{48}{64}$, $\frac{64}{80}$, $\frac{48}{80}$

Explanation:

Step1: Recall sine definition

In a right triangle, $\sin\theta = \frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Identify sides for angle B

For $\angle B$, opposite side is 48, hypotenuse is 80.

Step3: Calculate $\sin B$

$\sin B = \frac{48}{80}$

Answer:

$\frac{48}{80}$ (corresponding to the option with $\frac{48}{80}$)