Question

timed problem
score: 9/10 current time: 365.0
find: sin b
the figure is not drawn to scale
right triangle with leg 32 (horizontal), leg 60 (vertical), hypotenuse 68; angle b at the top, angle a at the bottom-left
answer options:
32/68
60/68
60/32
32/60

Explanation:

Step1: Recall sine definition

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

Step2: Identify sides for $\angle B$

For $\angle B$, opposite side is $60$, hypotenuse is $68$.

Step3: Calculate $\sin B$

$\sin B = \frac{60}{68}$

Answer:

$\frac{60}{68}$ (corresponding to the option $\frac{60}{68}$)