Question

timed problem score: 5/10 current time: 27:41 find: sin b the figure is not drawn to scale. triangle with right angle, side length 36, side length 77, hypotenuse 85 answer choices: \\(\frac{36}{85}\\), \\(\frac{77}{85}\\), \\(\frac{36}{77}\\), \\(\frac{77}{36}\\)

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 $36$, hypotenuse is $85$.

Step3: Calculate $\sin B$

$\sin B = \frac{36}{85}$.

Answer:

$\frac{36}{85}$ (corresponding to the first option with $\frac{36}{85}$)