Afloodlight at ground level is illuminating a building that is 100m away. a man 1.8m tall is walking from the floodlight to the building along a path that is perpendicular to the building. if he is walking at the rate of 1m/s, at what rate is his shadow on the building decreasing when he is 60 m from the building expert answer

0.1125 m/s

Explanation:

Given

Height of Person is 1.8 m

walking rate towards building is 1 m/s

From Similar triangle concept

y=4.5 m

Now suppose at any distance x between man and building

Differentiate w.r.t to time

and

and at x=60 y=4.5 m

as we know our atmosphere or air have different levels. every level has other gasses, and every gas has another permeability. when the light comes from lower permeability to higher permeability, it changes its direction. so that means that when the light comes from the moon to the earth, it changes it's direction many more times. it basically means that the shape of the light part of the moon is changed on the earth.

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