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
llm
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.