Question

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?

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.