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The angle of elevation of the bottom of ...

The angle of elevation of the bottom of a window 10 m above the ground level from a point on the ground is `30^@` A pole projecting outwards from the bottom of the window makes an angle of `30^@` with the wall. If the angle of elevation of the top of the pole observed from the same point on the ground is `60^@`, find the length of the pole to the nearest whole number.

Text Solution

Verified by Experts

`sin30^0=(AB)/(AC)`
`1/2=10/(AC)`
`AC=20m`
`tan30^0=(AD)/(AC)`
`1/sqrt3=l/20`
l=`20sqrt3/3`
l=`20/sqrt3`.
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