Question

in the right triangle shown, what is the value of sin a? note: figure not drawn to scale.

Explanation:

Step1: Recall sine - ratio definition

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. For angle $A$, the side opposite to angle $A$ is $BC = 52$ and the hypotenuse is $AB=177$.

Step2: Calculate $\sin A$

$\sin A=\frac{BC}{AB}=\frac{52}{177}$

Answer:

B. $\frac{52}{177}$