Question

Find the value of x.

Answer 1

Hey there :)

Here we need to use Trigonometry!

The given angle is 61°
The opposite to the angle is 22
So x is the adjacent

The trigonometric ratio that uses opposite and adjacent is tan
( I have uploaded a picture to help you )


tan α =
`(opposite)/(adjacent)`
tan 61 =
`(22)/(adj)`
adj =
`(22)/(tan(61))`
adj ≈ 12.19 ≈ 12

x = 12