From a window A,10m above the ground, the angle of elevation of the top C of a tower is x degrees,where tan X=5/2 and the angle of depression of the foot D of the tower is y degrees, where tan y=1/4.calculate the height Cd of the tower in metres.

Answer 1

Tan x = 5/2 = 2.50, X = 68.2o.

Tan y = 1/4 = 0.25, Y = 14.0o.

Tan 14 = 10/d1, d1 = 40.1 m. = Distance from bottom of window to foot of tower.

Tan 68.2 = d2/40.1, d2 = 100.3 m.
= Vert. distance from top of window to top of tower.

h = 10m + d2 = 10 + 100.3 = 110.3 m.