Problema Solution

Tom is 5 Ft. 7 in. tall and his shadow is 2.5 feet. a nearby building has a shadow that is 5 ft. tall. How tall is the building in inches.

Answer provided by our tutors

let the building be x inches tall


since 1ft = 12 inches


Tom is 5 ft 7in = 5*12 + 7 = 67 in


Toms shadow is 2.5 ft = 2.5*12 = 40 in


buildings shadow is 5 ft = 5*12 = 60 in


Toms height : Toms shadow = buildings height : buildings shadow


67 : 40 = x : 60


x = 60*67/40


x = 100.5 in


the building is 100.5 in tall.