Question

from a window a, 96m above the ground, the angle of elevation of the top p of a tower is x. where tan x =3/4 and the angle of depression of the foot of the tower is y, where tan y = 1/3 . find the height pq of the tower in meters.

Answer 1

Step-by-step explanation:

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.

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