Question

Option 1:

Find x. Show all work.

Answer 1

Using law of cosines:

Cos(angle) = adjacent/ hypotenuse

Cos(22) = 12/x

Rewrite to get:

X = 12/cos(22)

Simplify:

X = 12.9424

Round the answer as needed.

Answer 2

$\\ \tt\Rrightarrow cos\theta=\dfrac{Base}{Hypotenuse}$

$\\ \tt\Rrightarrow cos22=\dfrac{12}{x}$

$\\ \tt\Rrightarrow 12=xcos22$

$\\ \tt\Rrightarrow 12=0.92x$

$\\ \tt\Rrightarrow x=12/0.92$

$\\ \tt\Rrightarrow x=13.04$