Question

Option 1:

Find x. Show all work.

Answer 1

`\\ \tt\Rrightarrow cos\theta=(Base)/(Hypotenuse)`

`\\ \tt\Rrightarrow cos22=(12)/(x)`

`\\ \tt\Rrightarrow 12=xcos22`

`\\ \tt\Rrightarrow 12=0.92x`

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

`\\ \tt\Rrightarrow x=13.04`

Answer 2

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.