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Natasha2012 [34]
3 years ago
11

A man is parasailing on a lake. The rope he is holding is 150 feet long and he is 45 feet above the water. What is the horizonta

l distance between the man and the boat? Round your answer to the nearest tenth.​
Mathematics
1 answer:
ss7ja [257]3 years ago
3 0

9514 1404 393

Answer:

  143.1 ft

Step-by-step explanation:

Assuming the rope is tied to the boat, and that the geometry can be modeled by a right triangle, the Pythagorean theorem is helpful.

  150² = 45² + d²

  d = √(150² -45²) = √20475 ≈ 143.1 . . . . feet

The horizontal distance between the man and the boat is about 143.1 feet.

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