Question

A building is made keeping the lower window of the building at a height of 2m above the ground and its upper window 6m vertically above the lower window in view to have proper sunlight. At a certain instant ,the angles of elevation of a baloon frim tgese windows are observed to be 60° and 30° respectively.Find the height of the balloon from the ground. What values are depicted if the buulding owner in a view to use proper sunlight by maintaining the level of height of the window in building.

Answer 1

According to question
balloon makes angle 30 degree with the lower window
Thus in triangle ABC
tan 30 deg = AC/BC
1/root3 = AC/BC = AE +EC/BC
        1/root3 = AE+6/BC
           BC = (AE+6)root3

Now similarly 
Balloon makes angle 60 deg with the upper window
Thus in triangle ADE

tan 60 deg = AE/DE
root 3 = AE/DE
Thus AE = DE root 3
also DE = BC
So

       AE = BC root 3
Thus

BC = (BC root3 + 6)root3
      = 3BC + 6 root 3
Thus 
BC = 3root3
 So           AE = 9 
So height of balloon from ground
  = 9+6+2 = 17 m
  

Answer 2

Hello buddy

Answer:

11m

See the attached photo

Mark My answer as brainliest

I hope it helped you dude