Question

for the triangle above, find sin b. a. 25° b. 0.385 c. 0.923 d. 18°

Explanation:

Step1: Recall the sine - ratio formula

The sine of an angle in a right - triangle is defined as $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. For $\angle B$, the opposite side to $\angle B$ is $AC = 5$ and the hypotenuse is $AB = 13$.

Step2: Calculate $\sin B$

$\sin B=\frac{AC}{AB}=\frac{5}{13}\approx0.385$

Answer:

b. $0.385$