Question

Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.

Opposite side = 14 in.
Adjacent side = 22 in.
cos θ = ?

Answer 1

Answer
Since this is a right triangle, we can use the inverse cosine function to solve for the angle θ.

cos θ = Opposite side / Adjacent side

cos θ = 14 / 22

cos θ = 0.6363

θ = cos^-1 (0.6363)

θ ≈ 45.9°