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A 1.5m tall boy is standing at some di...

A 1.5m tall boy is standing at some distance from a 30m tall building. The angle of elevation from his eyes to the top of the building increases from `30^@` to `60^@` as he walks towards the building. Find the distance he walked towards the building.

A

`13m`

B

`9sqrt3m`

C

`19sqrt3m`

D

None

Text Solution

Verified by Experts

The correct Answer is:
C
`/_ABC`
`Cot/_B=(BC)/(AC)`
`BC=AC Cot/_B`
`BC=28.5sqrt3m`
`/_AFC`
`Cot/_F=(FC)/(AC)`
`FC=(28.5m)/sqrt3`
Distance=DG=BF=BC-FC
...
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