a large sphere is on a horizontal field on a sunny day. at a certain time the shadow of the sphere reaches out a distance of 1010 m from the point where the sphere touches the ground. at the same instant a meter stick (held vertically with one end on the ground) casts a shadow of length 22 m. what is the radius of the sphere in meters? (assume the sun's rays are parallel and the meter stick is a line segment.)
