anonymous
  • anonymous
lkll
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
A person who is 5.5 feet tall stands next to a tree and casts a shadow that is 2 feet long.At the same time, the shadow of the tree casts a shadow that is 8 feet long. how tall is the tree?
anonymous
  • anonymous
we have two triangles here 1 with the two right angld sides = 5.5 and 2 (the base) other with with one 8 ft long The base) as the sun makes the same angle with man an dtree these two triangles are similar and the corresponding sides are in the same ratio so x / 8 = 5.5 /2 where x is the height of the tree solving foe x x = 2x = 5.5* 8 x = 44 /2 = 22
anonymous
  • anonymous
last line but one shld read 2x = 5.5 * 8

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anonymous
  • anonymous
A trig solution follows: TreeHeight =8 Tan[ ArcTan[5.5/2] ] = 22

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