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Schach [20]
3 years ago
10

Pascale leaves the office to go home. She walks 12 blocks due north and then 9 blocks due west. How far is she from the office?

Mathematics
2 answers:
Stells [14]3 years ago
7 0

Answer:

15 blocks

Step-by-step explanation:

We can use the Pythagorean theorem to solve the right triangle

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

12^2 + 9^2 = h^2

144+81 = h^2

225= h^2

Taking the square root of each side

sqrt(225) = sqrt(h^2)

15 = h

9966 [12]3 years ago
4 0

\boxed{\large{\bold{\blue{ANSWER~:) }}}}

<h2>Given:-</h2>
  • Pascale leaves the office to go home. She walks 12 blocks due north and then 9 blocks due west.

<h2>Find:-</h2>
  • How far is she from the office?

<h2>solution:-</h2>

She walks 12 blocks due north and then 9 blocks due west.

  • so her path is a right angle triangle path.

<u>we</u><u> </u><u>know that</u><u>, </u>

in a right angle triangle, According to the Pythagorean theorom,

\boxed{\sf{l^2+b^2=h^2   }}

where

  • l= legs
  • b=base
  • h=hypotenuse

<u>According</u><u> </u><u>to</u><u> </u><u>the question</u><u>, </u>

  • \sf{12^2+9^2=f^2   }

  • \sf{144+81=f^2   }

  • \sf{ f^2=225  }

  • \sf{f=\sqrt{225}   }

  • \sf{f=15   }

<h3>Therefore:-</h3>

She is 15 blocks far from the office

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