Question

What is sinB ? Enter your answer, as a simplified fraction, in the box.

Answer 1

Answer:

$\Sin B = \frac{3}{5}$

Step-by-step explanation:

Applying the Pythagorean theorem in the triangle ABC, we have

$AC=\sqrt{AB^2-BC^2}\\\\AC=\sqrt{20^2-16^2}\\\\AC=\sqrt{400-256}\\\\AC=\sqrt{144}\\AC=12$

Now, we can apply the formula for sine function

$\sin B = \frac{AC}{AB}$

Plugging the known values, we get

$\sin B = \frac{12}{20}$

On simplifying this fraction, we get

$\sin B = \frac{3}{5}$

Answer 2

Sin B = 12/20 which equals about .6 .  Hope that helps. :)