Question

the angle of depression at a point on the ground from the top of a building is 60 degree.If the point is 36m far from the foot of the building,find the height of the building.

Answer 1

Answer:

ANSWER

Let the height of the tower =hm

and the distance between building and tower =xm

Now, in △AED,

⇒tanx=

a

60

⇒atanx=60⟶(1)

Again, △BAC,

⇒tanx=

a

(h−60)

⇒atanx=h−60⟶(2)

From equations (1)ξ(2), we get

⇒h−60=60

⇒h=120

∴ Height of tower 120m

Hence, the answer is 120.

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