To find the bunny's final position after hopping, we can break down its movements into components:
- The bunny hops 20 meters north.
- Then, it turns and hops 8 meters west.
We can visualize this scenario on a Cartesian coordinate system:
- Let's assume the starting point of the bunny is at the origin (0, 0).
- Moving north is in the positive y-direction, and moving west is in the negative x-direction.
Calculating the position:
- After hopping 20 meters north, the bunny's position is (0, 20).
- After hopping 8 meters west, the bunny's position then becomes (-8, 20).
So, the bunny's final position after hopping is (-8, 20).
If you need the distance from the starting position to the final position (or the straight-line distance from the origin), you can use the Pythagorean theorem:
\[ \text{Distance} = \sqrt{(-8 - 0)^2 + (20 - 0)^2} = \sqrt{(-8)^2 + (20)^2} = \sqrt{64 + 400} = \sqrt{464} \approx 21.54 \text{ meters} \]
Therefore, the bunny is approximately 21.54 meters away from the starting point, and its final position is (-8, 20).