Question

Find the acute angle x. Round to 2 decimal places.sin x = 0 .375

Answer 1

x = 22.02°

Explanation:

Given:

`\sin x=0.375`

To find the acute angle x, take the arcsin of both sides:

`\begin{gathered} \arcsin(\sin x)=\arcsin(0.375) \\ \implies x=\arcsin(0.375) \\ x=22.02\degree \end{gathered}`

The acute angle x is 22.02° (correct to 2 decimal places).