Draw a right triangle ABC with, the point where the top touches the ground and one leg, BC, the stump, measuring 14 ft.
The height of the tree = hypotenuse + stump BC (14 ft)
If the ∠ of inclination = 43°, then ∠ CAB = 37°
Now let's apply the law of sine:
sin 37°/14 = sin 43°/AB →and AB = 14.sin 43°/sin 37° = 15.86
Hypotenise² = AB² + CB²
Hypotenuse² = 15.85² + 14² = 447.22 → and Hypotenuse = 21.14 ft
Tree Height = hypotenuse + stump = 21.14 + 14 ≈ 35 ft
