Answer: tan(O) = 3/4
Explanation:
The following triangle is a right triangle so we can use the pythagorean theorem to find side QP.
4^2 + b^2 = 5^2
16 + b^2 = 25
b^2 = 9
b = 3
tangent is equal to opposite over adjacent.
The side opposite O is QP which we found to be 3
The side adjacent to O is OP which is given to be 4
tan(o) = 3/4