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A person walking along a straight road o...

A person walking along a straight road observes that at two consecutive kilometre stones the angles of elevation of a hill in front of him are `30^@` and `45^@` find the height of the hill

Text Solution

Verified by Experts

In`/_ACD=tan30^@=h/(x+1)`
`1/sqrt3=h/(x+1)`
`x+1=sqrt2h`
`x=sqrt3h-1`
In`/_BCD`
`tan45^@=h/x`
`x=h`
`sqrt3h-h=1`
...
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