Answer:
x = 51.1 degrees
Step-by-step explanation:
As this is a right triangle, we may use Sin, Cos, and Tan in order to find this answer. Sin is defined as the opposite over the hypotenuse, so that is what we can use. 7 is the opposite value and 9 is the hypotenuse of the triangle.
So we can set up an equation like this
[tex]sinx = \frac{7}{9}[/tex]
Then we can use the inverse of sin in order to solve for x
[tex]x = sin^{-1} (\frac{7}{9})[/tex]
When this is plugged into a calculator you get:
[tex]x= 51.057[/tex] degrees
This rounds to 51.1 degrees
