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rachel wants to put her dog tutu, outside in the backyard. she ties a 13 ft rope around the magnolia tree in the yard. the rope is attached to a protective collar around tutu's neck. if tutu is 2.5 ft tall and the rope makes a 68 angle with tutu: how far up the tree is the rope located. round your answer to nearest tenth of a foot

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mhanifa

Answer:

  • 7.4 feet

Step-by-step explanation:

Let the distance from the tie in point to the point at the level of Tutu's neck be x.

Then the length of the rope is the hypotenuse of the right triangle formed by this line and height of the tree at which rope is tied in.

We can find x as:

  • cos 68 deg = x/13
  • x = 13 cos 68 deg
  • x = 4.9 feet (rounded)

Required distance is:

  • 4.9 + 2.5 = 7.4 feet

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