Shalonda notices that when she stands next to the flagpole, she casts a shadow that is 8 feet long and that the flagpole casts a shadow that is 28 feet long. Little Shalonda is 4 feet tall. How tall, to the nearest foot, is the flagpole?
Cross multiply and solve for x
4/8 = x/28
To find the height of the flagpole, we can use a proportion:
Let x be the height of the flagpole.
According to the given information, Shalonda's shadow is 8 feet long, and the flagpole's shadow is 28 feet long. So, we can set up the following proportion:
Shalonda's height / Shalonda's shadow = Flagpole's height / Flagpole's shadow
4 feet / 8 feet = x / 28 feet
To solve for x, we can cross-multiply:
4 feet * 28 feet = 8 feet * x
112 feet = 8x
To isolate x, we divide both sides by 8:
112 feet / 8 = x
14 feet = x
Therefore, the height of the flagpole is 14 feet.