Question

Alex jogs 1 miles east, 5 miles north, and then 10 miles west.How far is Alex from his starting position, to the nearest tenth of a miles.

Answer 1

1 mils East + 5 miles North, and + 10 miles West.

It would be the same if I say the position of X = -9 and Y = 5

From Pythagorean theorem: a² + b² = c²

And in this case, c is the distance we want to calculate, a=X and b=Y

(-9)² + 5² = c²

81 + 25 = c²

106 = c²

c = √106 ≅ 10,3 miles