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A.T.V. tower has a height of 200m. By ho...

A.T.V. tower has a height of 200m. By how much the height of tower be increased to triple its coverage range?

A

1600 m

B

88 m

C

1800 m

D

600 m

Text Solution

Verified by Experts

Here, `h=200m, "as" d=sqrt(2hr)` and `d'=sqrt(2h'R)`
`d=3 d, therefore sqrt(2h'R)=3sqrt(2hR)`
squaring both sides, we get
`2h' R=9xx2 hR`
`h'=9h=9zz200=1800m`
Increase in height of tower `=1800m-200 m`
`=1600m`
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