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^@ (thetais known as 'parallax') estimate the distance of the tower C from his original position A.

A man wishes to estimate the distance of a nearby tower from him. He s

1.	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^@ (thetais known as 'parallax') estimate the distance of the tower C from his original position A.
Answer» Solution :Parallax angle `THETA = 40^(@) , AB = AC tan theta` `AC= AB // tan theta = 100m//tan 40^(@)` `= 100 m// 0.8391= 119 m`.