A 6-foot tall man makes a shadow that is 3 1/2 feet long. How tall is a building that makes a 14 7/8 foot shadow?
8.68 feet

1.41 feet

52.06 feet

25.5 feet

Respuesta :

6 / 3.5 =  1.7  * 14 7/8  25 .5 d

fichoh

The length of the building using the principle of proportional relationship is 25.50 feets

  • Man's height, m = 6 feets
  • Man's shadow, s = 3.5 feets
  • Building shadow, b = 14.875 feets
  • Building height , h =?

Setting up a proportional relationship :

Man's height / shadow = Building height / shadow

6 / 3.5 = h / 14.875

Cross multiply :

3.5h = 14.875 × 6

3.5h = 89.25

Divide both sides by 3.5 to isolate h

h = 89.25 / 3.5

h = 25.50 feets

Therefore, the length of the building is 25.50 feets

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