Question

@###GEOMETRY, SEE PHOTO! PLEASE HELP ASAP!####@

Find X. Round your answer to the nearest tenth of a degree.

Answer 1

Since this is a right triangle, we can use our trigonometric functions to solve for x.

Since we know the adjacent side and hypotenuse, we will use cosine.

Based on the function
`\cos(x) = (adj)/(hyp)`, we can solve for x. The adjacent side is 7 and the hypotenuse is 12. Plugging this in, we get
`\cos(x) = (7)/(12)`.

Now, we must use our inverse trigonometric functions to solve for x:

`\cos^(-1)(\cos(x)) = \cos^(-1)((7)/(12))`

The inverse cosine and cosine on the left side cancel, leaving you with:

`x = \cos^(-1)((7)/(12)) = \boxed{54.3^(\circ)}`