If sin θ = 12 over 37, use the pythagorean identity to find cos θ.

We are asked to find and solve cos θ and the given os 
sinθ = 12/37 

By reviewing SOH CAH TOA, we will know that opposite measurement is equal to 12 units and the hypotenuse measurement is equal to 37 units. Since it is also mentioned in the problem that we can apply Pythagorean theorem, it means that the given is a right triangle. Then we can apply c² = a² + b² formula.

Solving for adjacent side, we have:
37² = 12² + a²
a = 35

Solving for cosθ, we have CAH:
cosθ = 35/37
θ  = 18.93°

The answer is 10 bud