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The angle of elevation of the top of a ...

The angle of elevation of the top of a chimney from the top of a tower is `60^@` and the angle of depression of foot of the chimney from the top of the tower is `30^@`. If the height of the tower is 40 m find the height of the chimney.

Text Solution

Verified by Experts

in `/_ ABC`
`tan 30^@= AB/BC = 40/x`
`1/sqrt3= 40/x`
`x= 40*sqrt 3` m
in `/_ ADE`
`tan 60^@ = DE/AE`
`sqrt 3 = h/(4*sqrt 3)`
`h = 40*sqrt 3 * sqrt 3 = 120`m
...
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