Answer:
64.62°
Step-by-step explanation:
Use good 'ol SOHCAHTOA. Since we know the hypotenuse and the adjacent values, we use cosine.
Therefore:
[tex]cos( ?) = \frac{3}{7} [/tex]
Take the inverse cosine of each side:
[tex] {cos}^{ - 1} (cos( ?)) = {cos}^{ - 1} ( \frac{3}{7} )[/tex]
Inverse cosine of cosine cancel each other out:
[tex]? = {cos}^{ - 1} ( \frac{3}{7} )[/tex]
Use a calculator:
[tex]? = 64.623[/tex]
Therefore the angle is 64.62°
