This exercise will help you review some basic trigonometry on a right triangle. Recall that, by the Pythagorean Theorem, a triangle with sides $a$. $b$ and $c$ has a right angle opposite the (longest) side $c$ if and only if $$a^2+b^2 = c^2.$$ This is certainly true for the triangle in this problem. If necessary, review the definitions of the trigonometric functions and their inverses to solve this problem.
Consider the familiar right triangle with sides of lengths 3, 4, and 5 feet. Let $A$ be the angle opposite the side of length 3, and $B$ the angle opposite the side of length 4 feet.
$A =$ radians $=$ degrees, and
$B =$ radians $=$ degrees.