Question

Rohit and Rahul went to see the tower near the city. They amazed with the height of tower as it was
very high. They were looking at the top of tower from two different places. If the angles of elevation
of the top of a tower from two points distanta and b (a > b) from its foot and in the same straight line
from it, are respectively 30° and 60°, then find the height of the tower.​

Answer 1

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Answer 2

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Tan 60 = h/b

=> √3 = h/b

=> b = h/√3

Tan 30 = h/a

=> 1/√3 = h/a

=> a = h√3

a - b = h√3 - h/√3

=> a - b = h ( √3 - 1/√3)

=> a - b = h ( 3 - 1) /√3

=> a - b = h 2 /√3

=> h = √3 (a - b) /2