A right triangle has one side of 5 and another side of 4 (neither side is the hypotenuse). What is the angle adjacent to the side that is 5?
A) 10.87°
B) 15.34°
C) 18.13°
D) 38.66°

Question

Quizplus · Accepted Answer

Using the Pythagorean theorem, we find the hypotenuse of the triangle is sqrt(5^2 + 4^2) = sqrt(41). The angle adjacent to the side that is 5 can be found using the tangent function: tan(angle) = opposite/adjacent = 4/5. Using the arctan function, we find the angle ≈ 38.66°.

A Right Triangle Has One Side of 5 and Another