# shadow

## 35-36 Time Rates: Lengthening of shadow and movement of its tip in 3D space

## 17-18 Rate of shadow in the wall of a building

**Problem 17**

A light is placed on the ground 30 ft from a building. A man 6 ft tall walks from the light toward the building at the rate of 5 ft/sec. Find the rate at which the length of his shadow is changing when he is 15 ft from the building.

## 15-16 Movement of shadow from light at eye level

**Problem 15**

A light at eye level stands 20 ft from a house and 15 ft from the path leading from the house to the street. A man walks along the path at 6 ft per sec. How fast does his shadow move along the wall when he is 5 ft from the house?

## 08-09 Rate of movement of shadow on the ground

**Problem 08**

A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 miles per hour. How fast does the end of his shadow move?