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?

Guest Nov 7, 2019

#1**+2 **

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.

mathleteig Nov 7, 2019

#1**+2 **

Best Answer

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.

mathleteig Nov 7, 2019