Caleb’s school is five blocks due north of his home, and the library is two blocks due west of his home. If each city block is a

Question

10 days ago

10

Caleb’s school is five blocks due north of his home, and the library is two blocks due west of his home. If each city block is a

square with sides measuring 275 feet, which of the following is the closest to the straight-line distance from Caleb’s school to the library?

Mathematics

1 answer:

tester [12.3K] · Answer 1 · 2026-04-09T20:43:29+03:00

Response:

The direct straight-line distance between Caleb's school and the library amounts to:

1480.92 feet

Step-by-step explanation:

Picture a triangle where one side measures five blocks and another side measures two blocks; to calculate the most direct straight-line distance from Caleb's school to the library, you can apply the Pythagorean theorem, with the hypotenuse being the straight-line distance:

$perpendicular^{2} +base^{2} =hypotenuse^{2}$

Solving for the hypotenuse results in:

$\sqrt{perpendicular^{2}+base^{2}}= hypotenuse$

To figure out the distance in each case, consider the following:

Five blocks = 275 feet * 5 = 1375 feet.

Two blocks = 275 feet * 2 = 550 feet.

Finally, you need to substitute the determined distances into the cleared equation:

$\sqrt{1375 feet^{2}+550 feet^{2}}= hypotenuse$

The hypotenuse, or the closest straight-line distance, equals 1480.92 feet.

Thus, we can conclude that the direct distance from Caleb's school to the library is 1480.92 feet.