Melinda is standing on the ground, 100 feet away from a 20-foot-tall flag pole. she notices the top of some bluffs (small mountains) in the background matches up with the top of the flag pole. if she knows the height of the bluffs is 2500 feet, how far away is she from the bluffs?

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Mathematics

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Today, 12:41

Melinda is standing on the ground, 100 feet away from a 20-foot-tall flag pole. she notices the top of some bluffs (small mountains) in the background matches up with the top of the flag pole. if she knows the height of the bluffs is 2500 feet, how far away is she from the bluffs?

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Rudy Jennings · Answer 1

We will use the similarity of the triangles:

100 : 20 = x : 2,500

20 x = 2,500 * 100

20 x = 250,000

x = 250,000 : 20

x = 12,500 ft

Answer: She is 12,500 feet away from the bluffs.