Final answer:
The legal description for a point 218.00 feet East from the Northeast corner of Bard Avenue and Elm Street is based on a Cartesian coordinate system. To calculate the straight-line distance after walking 9 blocks East and 5 blocks North, we use the Pythagorean theorem, resulting in approximately 10.30 blocks.
Step-by-step explanation:
The legal description for a point on a North line of Bard Avenue that is 218.00 feet East from the Northeast corner of Bard Avenue and Elm Street would be determined by using a Cartesian coordinate system to describe the location of the point in relation to a known reference point. In this scenario, the Northeast corner of Bard Avenue and Elm Street represents the origin (0,0) of our coordinate system. Traveling East for 218.00 feet from this point would simply translate to a horizontal move along the x-axis.
To find the straight-line distance from the starting point after walking 14 blocks, with 9 blocks East followed by 5 blocks North, we can use the Pythagorean theorem. This scenario forms a right-angled triangle, where the distances walked East and North represent the two perpendicular sides of the triangle. Applying the theorem:
- Distance East = 9 blocks
- Distance North = 5 blocks
- Straight-line distance (hypotenuse) = √(9² + 5²)
By calculating, we find the hypotenuse to be:
√(9² + 5²) = √(81 + 25) = √106 ≈ 10.30 blocks
Therefore, the straight-line distance would be approximately 10.30 blocks.