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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 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 = `40^@` (`theta ` is known as 'parallax') estimate the distance of the tower C from his original position A.

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Verified by Experts

Parallax angle `theta = 40^@ , AB = AC tan theta`
`AC = AB//tan theta = 100m//tan 40^@`
`= 100 m//0.8391 = 119m`.
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