Question

A rope is stretched from the top of a 6-foot tent to a point on the

Answer 1

Answer:

  A.  12.5 ft

Step-by-step explanation:

The geometry is modeled by a right triangle with legs 6 ft and 11 ft. The length of the rope is the length of the hypotenuse of that triangle. That is given by the Pythagorean theorem:

  c² = a² +b² . . . . . . where c is the hypotenuse and a, b are the leg lengths

  c = √(a² +b²) = √(6² +11²) = √(36 +121) = √157

  c ≈ 12.530 . . . . feet

The rope is about 12.5 feet long.

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Additional comment

The hypotenuse of a right triangle is longer than either leg, and is shorter than the sum of the two legs. That means ...

  11 < c < 17

Only one answer choice fits.