Question

Chloe walks 5 units to the north and Lauren walks 4 units west. If they both start at a spot that can be represented by the coordinate (3,0), how far apart are they to throw the softball? Round answer to the nearest tenth.

Answer 1

Chloe and Lauren are approximately 6.4 units apart.

Step-by-step explanation:

To find the distance between Chloe and Lauren, we can use the Pythagorean theorem. We have a right triangle with one leg measuring 5 units (north) and the other leg measuring 4 units (west). The hypotenuse of the triangle represents the distance between Chloe and Lauren. Using the Pythagorean theorem, we can calculate the hypotenuse:

a² + b² = c²

5² + 4² = c²

25 + 16 = c²

41 = c²

c ≈ √41 ≈ 6.4

So, Chloe and Lauren are approximately 6.4 units apart. Rounding to the nearest tenth, they are about 6.4 units apart.