Answer:
See below
Explanation:
OM triangle OCB is isosceles rt triangle with hyp = 10
Pythagorean theorem
10^2 = S^2 + S^2 Shows s = sqrt (50)
then triangle COM
pythagorean theorem again
5^2 + OM^2 = (sqrt(50))^2
25 + OM^2 = 50
OM^2 = 25
OM = 5 cm
Funny....here is an easier way OM is 1/2 way across the square with side length of 10 so it is = to 5 cm
~D'Oh !
Angle VMO : VO = 12 OM = 5 ARCTAN (12/5) = 67.4°
Angle VBM: VM = 12/sin67.4 = 13 cm then ARCTAN 13/5 = 69°