Question

Jackson places the mirror on the ground so that he is able to look at the mirror and see the top of the mountain.

The mirror is 5 feet in front of him and is approximately 40 feet from the base of the mountain. Jackson is 6’4” tall. Approximately how high is the top of the mountain?

Answer 1

50'8"

Explanation:

In this scenario, the height of the object is proportional to its distance from the mirror. The mountain is 40'/5' = 8 times as far from the mirror as Jackson, so it will be 8 times as tall as Jackson:

8 × 6'4" = 48'32" = 50'8"

The mountain is 50 feet 8 inches tall.