Question

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?

Answer 1

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

Given:-

• Pascale leaves the office to go home. She walks 12 blocks due north and then 9 blocks due west.

Find:-

• How far is she from the office?

solution:-

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

• so her path is a right angle triangle path.

we know that,

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

According to the question,

• 
  `\sf{12^2+9^2=f^2 }`

• 
  `\sf{144+81=f^2 }`

• 
  `\sf{ f^2=225 }`

• 
  `\sf{f=√(225) }`

• 
  `\sf{f=15 }`

Therefore:-

She is 15 blocks far from the office

Answer 2

15 blocks

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