Question

from a mandir 24 meter height, the angle of depression of the top and bottom of a tower 30° and 60° respectively . Find the height of the tower
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Answer 1

Answer:

let h be the height of the tower and d be the distance of the tower from the foot of the mandir

tan 30 = (24-h)/d........(1)

tan 60 =24/d

√3=24/d

d=24/√3=8√3......(2)

From (1)

1/√3=(24-h)/d

d=(24-h)√3 put here the value of d from (2)

8√3 = (24-h)√3

24-h = 8√3/√3=8

h=24-8=16m Ans