Question

A boy observes that the angle of elevation of a top of a tower is 32 degree the then walks 8cm toward the tower and then discovers that the angle of elevation is 43 degree find the height of the tower

Answer 1

The angle changed that much after moving only 8 cm? That's some tiny tower! Still, draw your diagram. You can see that if the height is h cm, then
h cot32° - h cot43° = 8

Answer 2

Tan32 = h/d,
h = d*Tan32,

Tan43 = h/(d-8),
h = (d-8)*Tan43,

h = d*Tan32 = (d-8)*Tan43,
0.625d = 0.933d - 7.46,
d = 24.22 m.,

h = d*Tan32 = ----m.

Answer 3

Answer is equal to
H=15.22