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Differentiation and Related Rates : Rate of Change of Length of Shadow

A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above ground . When he is 10 feet from the base of the light,

(a) at what rate is the tip of his shadow moving?

(b) at what rate is the length of his shadow changing?

Answer: 25/3 feet per sec 10/3 feet per sec

Solution Summary

The rate of change of the length of a shadow is investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question. Diagrams are included