Question

Solve for x. Round to the nearest tenth of a degree, if necessary.

2.1
D
4
to
E

Answer 1

`31.7^\circ`

Explanation:

We use the property that the sin of the angle of a right triangle is the ratio of the side opposite that angle divided by the hypotenus

Therefore

`\begin{aligned}\sin x & = (2.1)/(4)\\& = 0.525\\\end{aligned}\\\begin{aligned}x &= sin^(-1)(0.525)\\& = 31.7^\circ \end{aligned}`