Question

10. Solve for x. Round to the nearest degree.

Answer 1

`\\ \rm\Rrightarrow sinX=(Perpendicular)/(Hypotenuse)`

`\\ \rm\Rrightarrow sinX=(15)/(32)`

`\\ \rm\Rrightarrow sinX=0.47`

`\\ \rm\Rrightarrow X=sin^(-1)(0.47)`

`\\ \rm\Rrightarrow X=28.03`

Answer 2

x = 28°

Given:

• opposite: 15

• hypotenuse: 32

using sine rule:

`\hookrightarrow \sf sin(x) = (opposite)/(hypotenuse)`

`\hookrightarrow \sf sin(x) = (15)/(32)`

`\hookrightarrow \sf x = sin^(-1)((15)/(32))`

`\hookrightarrow \sf x = 28^(\circ \:)`