Question

Find the height of the chimney, when it is found that on walking towards it 50 m in a horizontal line through its base, the angle of elevation of its top changes from 30° to 60°​

Answer 1

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Answer 2

Height of Chimney = 25√3 m if on walking towards it 50 m angle of elevation of its top changes from 30° to 60°​

Step-by-step explanation:

Let say Height of Chimeny = H

Distance From Chimney = D

Tan 30  = H/D

=> 1/√3 = H/D

=> D = H√3

Now after walking 50 meter Distance = D - 50 m

= H√3  - 50 m

Tan 60  =  H / (H√3  - 50)

=> √3  =  H / (H√3  - 50)

=> 3H - 50√3 = H

=> 2H = 50√3

=> H = 25√3

Height of Chimney = 25√3 m

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