Find cosθ, where θ is the angle shown.

Question

Angle is a triangle

the other side is 5(but this is not the hypotenuse side)

the base is 4

the cosθ is at the bottom of the corner between the hypotenuse and base.

Give an exact value, not a decimal approximation

Answer 1

cos(θ) = adjacent/hypotenuse

We know from the description that the opposite side is 5 and the adjacent side is 4.

Hypotenuse, h = √(5²+4²) = √41

cos(θ) = 4/√41 = 4√41/41

Answer 2

Attached video illustrating the problem when it is a right triangle. Uses Pythagorean theorem and SOH CAH TOA