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?
2 answers:
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
<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,
where
- l= legs
- b=base
- h=hypotenuse
<u>According</u><u> </u><u>to</u><u> </u><u>the question</u><u>, </u>
<h3>Therefore:-</h3>
She is 15 blocks far from the office
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