Question

Find angle sin (A) of the right triangle if side a = 6 and side b = 15

sin (A) =
The way I did it I got 15/17 but that was wrong.

Answer 1

Given that side a = 6
side b = 15

Use Pythagoras theorem to find out hypotenuse, h.


`{h}^(2) = {a}^(2) + {b}^(2) \\ \\ {h}^(2) = {6}^(2) + {15}^(2) \\ \\ {h}^(2) = 36 + 225 = 261 \\ \\ h = √(261)`


`\text{We know that } \sin(A) = (b)/(h) \\ \\thus \: \boxed{ \red{ \sin(A) = (15)/( √(261) ) }}`