Question

Foraging bees often move in straight lines away from and towards their hives.

Suppose a bee starts at its hive and flies 540 m due east, then flies 339 m west,
then 763 m east. How far is the bee (in meters) from the hive?

Answer 1

After flying in straight lines with various distances and directions, the bee is calculated to be 964 meters to the east from the hive.

Step-by-step explanation:

To calculate how far the bee is from the hive after its series of flights, we need to consider the directions and lengths of each flight segment and then combine them. The bee starts by flying 540 m due east, then reverses direction to fly 339 m west, and finally flies 763 m due east again.

Let's perform the calculation: Total distance east = 540 m + 763 m = 1303 m. Total distance west = 339 m. Net displacement = Total distance east - Total distance west = 1303 m - 339 m = 964 m east.

Therefore, the bee is 964 meters away from the hive, to the east.