Question

timed problem
score: 3/10 current time: 247.2
find: sin b
the figure is not drawn to scale.
right triangle with legs 84, 35, hypotenuse 91, angles a and b
answer options: \\(\frac{35}{91}\\), \\(\frac{84}{91}\\), \\(\frac{35}{84}\\), \\(\frac{84}{35}\\)

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 35, hypotenuse is 91.

Step3: Calculate $\sin B$

$\sin B = \frac{35}{91}$ (simplify if needed, but here we use the values).

Answer:

$\frac{35}{91}$ (corresponding to the option with $\frac{35}{91}$)