Question

A. From a window A, 10 m above the ground, the anglo of elevation of tho top C of a tower is x tan
x - 6/2 and the angle of depression of the foot D of the tower is y, tan y = \. Calculate the
height of the tower.​

Answer 1

Step-by-step explanation:

Let h be the height of the tower.

Also AB = ED = 10 m

In △DAE,

tan y˚ = DE/AE

¼ = 10/AE

⇒ AE = 40 m

Now in △CAE,

tan x˚ = CE/AE

⇒ 5/2 = CE/40

⇒ CE = (40 × 5)/2

= 100 m

Height of the tower h = CE + ED

= 100 + 10 = 110 m