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  • 23-11-2016
  • Mathematics
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Find the height of the pole if the shadow of a boy 6 ft. tall is 3 ft. and the shadow of the pole is 2 1/3 yards.

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Greenleafable
Greenleafable Greenleafable
  • 03-12-2016
First of all, we need to convert 2 1/3 yards into feet. 
2 1/3 = 7/3 yard. Since a yard has 3 feet, we multiply this by 3 and we get that 2 1/3 yards equal 7 feet.
Now we move on to proportions.
If the shadow of a boy 6 feet tall produces the shadow of 3 feet, we need to see which height can produce a shadow of 7 feet.

6: 3 = x : 7
3x = 42
x = 14

The height of the pole is 14 feet. 
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