A flagpole casts a shadow that is 111.6 inches long. A girl standing nearby is 62.5 inches tall and casts a shadow of 45 inches. How tall is the flagpole?

Question

A flagpole casts a shadow that is 111.6 inches long. A girl standing nearby is 62.5 inches tall and casts a shadow of 45 inches. How tall is the flagpole?

Answer 1

62.5/45 = X/111.6. the ratios of height to shadow length are equal

solve for X = flagpole height

62.5/45 = 12.5/9 = X/111.6

divide denominators by 9

12.5/1 = X/12.6

X =12.6(12.5) = 157.5 inches = 157.5/12 feet = 13 1/8 feet tall