Question

From his home, Logan would have to walk due north to get to his friend Estelle's house and
due east to get to his friend Vijay's house. It is 5 miles from Logan's house to Vijay's house
and a straight-line distance of 6 miles from Estelle's house to Vijay's house. How far is
Logan's house from Estelle's house? If necessary, round to the nearest tenth.

Answer 1

9514 1404 393

Answer:

  3.3 miles

Step-by-step explanation:

The distance can be found using the Pythagorean theorem.

  LV² +LE² = VE²

  LE² = VE² -LV² = 6² -5² = 36 -25 = 11

  LE = √11 ≈ 3.3

It is about 3.3 miles from Logan's house to Estelle's house.