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?

  50'8"

Step-by-step 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.

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answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

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