Answer:
x = 73.17
Step-by-step explanation:
To solve this problem we are going to have to use trig function
The three main trig functions are
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Hypotenuse
( where hypotenuse = longest length , opposite = side length opposite of angle and adjacent = other side length )
Here, we are given two side lengths and we want to find an angle.
We are given the hypotenuse and its adjacent ( we know this because we are not given its opposite )
When you have the adjacent and hypotenuse you use cosine.
So we have Cos"x" = adj / hyp
adj = 22 and hyp = 76
So Cos"x" = 22/76
==> take the inverse of cos to both sides
x = 73.17 ( rounded to the nearest hundredth )
and we are done!
