Problema Solution
Mitchell cast a shadow 0.5 ft long while a flagpole cast a shadow 2.5 ft long. If Mitchell is 5 ft 3 in. tall, how tall is the flagpole?
Answer provided by our tutors
let
h = the height of the flagpole
1 ft = 12 in
1 in = 1/12 ft
Mitchell is 5 ft 3 in. tall means he is 5 + 3(1/12) = 5 + (1/4) = 5.25 ft tall
since the length of the shadow is directly proportional to the height of the object we have:
5.25 : 0.5 = h : 2.5
by solving we find:
h = 26.25 ft
click here to see the step by step solution of the equation:
0.25 ft = 0.25*12 in = 3 in
26.25 ft = 26 ft 3 in
the flagpole is 26 ft 3 in tall.