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An army of pilot is flying an aeroplane at an altitude of 1800 m observes suspicious activity of two ships which are sailing towards it in the same directions and immediately report it to navy chief.The angles of depression of the ships as observed from the aeroplane are `60^@` and `30^@`,respectively. 1. Find the distance between two ships.

Text Solution

Verified by Experts

`In/_PAQ`
`tan60^o=(QA)/(PQ)`
`QA=1800sqrt3m`
`In/_PQB`
`tan30^o=(OB)/(PQ)`
`QB=1800/sqrt3=600sqrt3m`
Distance between ships=`QA-QB=1800sqrt3-600sqrt3`
`=1200sqrt3m`.
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