Question

Esmerelda rode her bike 6 miles south and then a certain number of miles east. She ends 10 miles away from her starting position. How many miles east did Esmerelda ride her bike?

Answer 1

Esmerelda rode 4 miles east on her bike.

Step-by-step explanation:

To find out how many miles east Esmerelda rode her bike, we can use the concept of displacement. Displacement is the straight-line distance between the starting and ending points, regardless of the path taken. We know that Esmerelda rode 6 miles south and ended up 10 miles away from the starting point. Since the distance south does not affect the eastward displacement, we can subtract the 6 miles south from the total distance of 10 miles to find the eastward displacement:

(Total distance) - (Distance south) = Eastward displacement

10 miles - 6 miles = 4 miles east

Therefore, Esmerelda rode 4 miles east on her bike.