Respuesta :

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!