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tigry1 [53]
2 years ago
14

Last summer, Marrero was at Newgrange, a stone mound in Ireland that has a diameter of 250 feet. He found a walkway 62 feet long

that leads to the center of the mound. Help Marrero find perpendicular distance x from the end of the walkway to either side of the mound.

Mathematics
1 answer:
timofeeve [1]2 years ago
7 0

Answer:

  • 108 ft

Step-by-step explanation:

The line connecting the center with the end of the walkway is radius and is the hypotenuse of the right triangle.

Horizontal leg is the distance x.

<u>Vertical leg has the length:</u>

  • (250)/2 - 62 = 63 ft

<u>Using Pythagorean theorem to find the length of x:</u>

  • x² = (250/2)² - 63²
  • x² = 125² - 63²
  • x² = 11656
  • x = √11656
  • x = 107.96 ≈ 108

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