Answer:
12.4967 m
≈  12.5 m
Step-by-step explanation:
From the solution diagram attached, to find /AB/, we apply sine rule:
AB/Sin 140° =AD/Sin 15°
AB = 10/Sin 15° x Sin 140°
   = 24.8372 m
To calculate the height of the pole we will calculate BC first. Using the right angle triangle ∠ABC, we have:
Sin ∅  =  BC/AB
Sin 25° =  BC/ 24.8372
BC = 24.8372 Sin 25°
  =  10.4967 m
The height of the pole = Â BC + 2.0
                   =  10.4967 + 2.0
                   = 12.4967
                   ≈  12.5 m
