Question

What is sin b in a 15,8,17 triangle

Answer 1

`Sin B=(8)/(17)`

Explanation:

The sin of an angle is equal to opposite/hypotenuse

Use Pythagorean’s Theorem to solve for the opposite side

`15^2 + b^2 = 17^2\\225 + b^2 = 289\\b^2 = 64\\b = 8`

`SinB = (Oposite)/(Hypotenuse)`

The opposite side is equal to 8

`So~SinB = (8)/(17)`