Question

Joseph biked 8 miles north and stopped at Patsy's Peach Farm. He then then traveled west and stopped at a gas station to get air for his tire. From there he rode directly home, diagonally, which was exactly 11 miles? How many miles is the peach farm from the gas station? Rounded to the nearest tenth of a mile and use appropriate units.

Answer 1

The distance between the peach farm and the gas station is approximately 7.55 miles.

Step-by-step explanation:

To find the distance between the peach farm and the gas station, we can use the Pythagorean theorem. Let's label the distance between the peach farm and the gas station as 'x'. We have a right triangle where the two legs are the distance Joseph biked north (8 miles) and the distance he biked west (x miles). The hypotenuse of the triangle is the distance Joseph biked diagonally (11 miles).

Using the Pythagorean theorem, we have:

x^2 = 11^2 - 8^2

x^2 = 121 - 64

x^2 = 57

x ≈ √57

x ≈ 7.55 miles

Therefore, the peach farm is approximately 7.55 miles from the gas station.

Answer 2

`√(57)` or 7.54983

Step-by-step explanation: