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A man wishes to estimate the distance of...

A man wishes to estimate the distance of a nearby tower from him. He stands at a point A in front of the tower C and spots a very distant object O in line with AC. He then walks perpendicular to AC up to B, a distance of 100 m and looks at O and C again. Since O is very distant, the direction BO is practically the same as AO, but he finds the line of sight of C shifted from the original line of sight by an angle `theta=40^(@)` (`theta` is known as parallax) estimate the distance of the tower C from his original position A.

Text Solution

Verified by Experts

Parallax angle `theta=40^(@), AB=AC tantheta`
`AC=AB//tantheta=100m//tan40^(@)`
`" "=100m//0.8391=119 m.`
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