Question

Zeek then want to ride his bike to the old spaghetti factory. He wondering if he should bike 1 mile north, then 0.5 miles directly east, or if he should just go directly there to bike the shortest distance.

Answer 1

Answer:

He should travel directly

Step-by-step explanation:

Given

$x = 0.5$ --- East

$y =1$ --- North

If he goes through east north direction, the distance (d) traveled is:

$d = x + y$

$d = 0.5 + 1$

$d = 1.5 mile$

If he travels directly, the distance (d) is:

$d = \sqrt{x^2 + y^2}$ ---- Pythagoras theorem

$d = \sqrt{0.5^2 + 1^2}$

$d = \sqrt{0.25 + 1}$

$d = \sqrt{1.25}$

$d = 1.12mile$

By comparison, he will travel the shortest distance if he travels directly because $1.12 < 1.5$

Hence, he should travel directly