Distance vs Displacement — Team of Teachers - Free Printable

Based on the analysis of the treasure map, I can determine the distance from the starting point to the treasure chest.

The solution involves using the Pythagorean theorem since we need to find the straight-line distance (hypotenuse) between two points on a grid.

Here's my step-by-step reasoning:

1. Identify the start and end points: The blue 'X' marks the starting position, and the treasure chest is at the endpoint.
2. Count the grid squares: By examining the grid, I can see that to get from the start point to the treasure chest, you move:
- 8 squares horizontally (to the right)
- 6 squares vertically (upwards)
3. Apply the Pythagorean theorem: The straight-line distance (d) can be calculated using the formula: d² = horizontal_distance² + vertical_distance²
- d² = 8² + 6²
- d² = 64 + 36
- d² = 100
- d = √100
- d = 10
4. Apply the scale: The map indicates that 1 box side = 1.0 meter.

Therefore, the straight-line distance from the starting point to the treasure chest is 10 meters.