emelyalexrodriguez emelyalexrodriguez
  • 11-09-2020
  • Mathematics
contestada

6) A tree casts a shadow 60 feet long. At the same time, a nearby 8-foot post casts a 12- foot shadow. How tall is the tree?​

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sqdancefan
sqdancefan sqdancefan
  • 11-09-2020

Answer:

  40 ft

Step-by-step explanation:

The tree's shadow is 60/12 = 5 times the length of the shadow of the post. So, we figure the tree is 5 times the height of the post:

  5(8 ft) = 40 ft . . . height of tree

__

You may want to write a proportion:

  tree height/tree shadow = post height/post shadow

  t / 60 = 8 / 12

  t = 60(8/12) = 40 . . . . multiply by 60

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