A man six foot two inches tall casts a nine foot three inch shadow. How tall is a child that casts a five foot four inch shadow at the same time of the day? (to the nearest whole inch

Mathematics · High School · Tue Nov 03 2020

Answered on

Given :

Actual height of man = 6 feet 2 inches or 74 inches

Shadow of man = 9 feet 3 inches or 111 inches

Ratio of actual height and shadow = 74/111

= 2/3

Now, actual height of a child of 5 feet 4 inches or 64 inches shadow = 64/3 × 2

= 42⅔ inches or 43 inches

 

Thus, actual height of child is 3 feet 7 inches or 43 inches.