Question

PLEASE HELP!!

Answer 1

Answer:

$x=56.4\degree$ to the nearest tenth.

Step-by-step explanation:

Recall the mnemonics SOH.

This means that;

$\sin(x)=\frac{Opposite}{Hypotenuse}$

From the diagram, the side opposite to angle x is 10ft and the hypotenuse is 12 ft.

We substitute the values to get;

$\sin(x)=\frac{10}{12}$

$\sin(x)=\frac{5}{6}$

Take the sine inverse of both sides

$x=\sin^{-1}(\frac{5}{6})$

$x=56.4427\degree$

$x=56.4\degree$ to the nearest tenth.