Question

If you have a right triangle, the hypotenuse is 17m the adjacent side is 15m and the opposite side is 8m what is the angle between the opposite side and hypotenuse?

Answer 1

`color(blue)("Angle between opp. side and hypotenuse " = hat B = 61.93^@`

Explanation:

`"Given : " a = 8, b = 15, c = h = 17`

As per Law of Sine, `a / sin A = b / Sin B = c / sin C`

Angle between opposite side a and hypotenuse c is `hat B`

`sin B = (sin C * b) / c = (1 * 15) / 17 = 15/17, " as " sin C = sin 90 = 1`

`hat B = sin ^-1 (15/17) = 61.93^@`