Alicia is 150 centimeters tall. On a sunny day, she casts a 200-centimeter shadow at the same time that a flagpole casts a 24-meter shadow. How many meters tall is the flagpole?
This can be set up as a simple proportion.
HEIGHT OF ALICIA : SHADOW OF ALICIA = FLAGPOLE HEIGHT : SHADOW OF FLAGPOLE
Remember, we have to the keep the units consistent.
150 cm : 200 cm = x : 2400 cm
150 * 2400 = 200x
x = 150 * 2400/200
x = 150 * 12
x = 1800 cm
In meters, it would be 18 meters.
This can be set up as a simple proportion.
HEIGHT OF ALICIA : SHADOW OF ALICIA = FLAGPOLE HEIGHT : SHADOW OF FLAGPOLE
Remember, we have to the keep the units consistent.
150 cm : 200 cm = x : 2400 cm
150 * 2400 = 200x
x = 150 * 2400/200
x = 150 * 12
x = 1800 cm
In meters, it would be 18 meters.