A hungry bunny rabbit hops 20 meters north and then turns and hops 8 meters west in search of tasty flowers to eat. what is the bunnys distance?

1 answer

To find the direct distance the bunny rabbit has traveled from its starting point, we can use the Pythagorean theorem.

  1. The bunny hops 20 meters north, and then 8 meters west.
  2. These two movements can be thought of as forming a right triangle, where one leg is 20 meters (north) and the other leg is 8 meters (west).

Using the Pythagorean theorem:

\[ c = \sqrt{a^2 + b^2} \]

Where:

  • \( a = 20 \) meters (north)
  • \( b = 8 \) meters (west)
  • \( c \) is the distance from the starting point to the bunny's final position.

Substituting in the values, we get:

\[ c = \sqrt{(20)^2 + (8)^2} \] \[ c = \sqrt{400 + 64} \] \[ c = \sqrt{464} \] \[ c \approx 21.54 \text{ meters} \]

Therefore, the bunny's direct distance from its starting point is approximately 21.54 meters.