Question

What is sinB ?



Enter your answer, as a simplified fraction, in the box.

Answer 1

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

Answer 2

`\Sin B = (3)/(5)`

Explanation:

Applying the Pythagorean theorem in the triangle ABC, we have

`AC=√(AB^2-BC^2)\\\\AC=√(20^2-16^2)\\\\AC=√(400-256)\\\\AC=√(144)\\AC=12`

Now, we can apply the formula for sine function

`\sin B = (AC)/(AB)`

Plugging the known values, we get

`\sin B = (12)/(20)`

On simplifying this fraction, we get

`\sin B = (3)/(5)`