Question

a flypool cast a shadow that is 20 ft long at the same time a child who is 4 ft tall cash a shadow that is 42 in long how tall is the flagpole to the nearest foot​

Answer 1

To answer this question, we need to use the ratio between the shadow length and the object's height. In the first example, the flypool casts a shadow 20 ft long and the child casts a shadow 42 in long. This means that the ratio between the flypool's shadow and the child's shadow is 20 ft:42 in or 5:1.

Now, to calculate the height of the flagpole, we need to use the same ratio. For example, if the flagpole casts a shadow 120 in long, then the ratio between the flagpole's shadow and the child's shadow is 120 in:42 in or 3:1. Thus, the height of the flagpole is 3 times the height of the child, or 12 ft. To the nearest foot, this would be 12 ft