Question

Given sin Ø = 3/5, find a, the other angle in the right triangle.

Answer 1

The other angle is
`53.1\°`

Explanation:

we know that

A right triangle has a right angle and the other two angles are complementary

Let

`\phi` ------> one of the two angles that are complementary

`\alpha` ----> the second of the two angles that are complementary

remember that

`\phi+\alpha=90\°`

Find the value of angle
`\phi`

`\phi=arcsin(3/5)=36.9\°` -----> using a calculator

Find the value of angle
`\alpha`

`36.9\°+\alpha=90\°`

`\alpha=90\°-36.9\°=53.1\°`