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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?

 Nov 7, 2019

Best Answer 

 #1
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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.

 Nov 7, 2019
 #1
avatar+212 
+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

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