Right Angle Trig

Question

Suppose that  cosθ=√108/12

What is the value of θ? Give your answer in radians and degrees.

Assume that θ is an acute angle.

Answer 1

sqrt(108)/12 = sqrt(36)sqrt(3)/12 = 6* sqrt(3)/12 = sqrt(3)/2

cos(theta) = sqrt(3)/2 ---> theta = 30 degrees or PI/6 radians