Question

The anglle of elevation of the top of a building is found to be 60degree as messred from a point on the level ground, if the angle of elevation of a point on the building that is 3m below the top is 55 degree measured from the same point on the ground,then the height of the building is equal to

Answer 1

Answer:

Let the height of the tower =hm

and the distance between building and tower =xm

Now, in △AED,⇒tanx=

a60⇒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.