talenakay talenakay
  • 05-01-2019
  • Mathematics
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a six foot man casts a 14 foot shadow. how long is the shadow of a 40 foot tree?

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 05-01-2019

Answer:

x = 93 1/3 ft  shadow of the tree

Step-by-step explanation:

We can solve this by using proportions.  We will put the height of the object over the shadow

6ft  man          40 ft tree

------------      =  ---------------

14 ft shadow      x ft shadow

Using cross products

6 * x = 14 * 40

Divide each side by 6

6x/6 = 14/6 * 40

x = 93.33333(repeating)

x = 93 1/3 ft

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