Given sin ∅ 3/5, find a, the other angle in the right triangle

Question

The answer is 30,60,90
How is this someone explain?

Answer 1

Draw it
it is a right triangle
the hypotenuse is 5
one side is 3
so the other side is sqrt(25-9) = 4
so the sides are 3, 4, 5
30 60 90 is in the ratios
1 , sqrt 3, 2

In fact
∅ = sin^-1 (3/5) = 36.9 degrees
90-∅ = other angle = 53.1 degrees

Answer 2

Thank you

Answer 3

You are welcome.