Subjects geometry

Distance Gate1

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Distance Gate1


1. Stating the problem: We have a circular park with pathways connecting the main road to gates and an exit. 2. Given: Distance from main road to Gate 2 is 70 m and the path from Gate 2 to Exit is 50 m. We need to find the distance from main road to Gate 1. 3. Assumptions: The problem suggests a circular layout and pathways implying triangle or circular arc distances. 4. Without a diagram, a common interpretation is the path forms a triangle with the main road, Gate 1, Gate 2, and Exit points. 5. If the length from main road to Gate 2 is 70 m and Gate 2 to Exit is 50 m, and Gate 1 lies roughly on a direct line between main road and Exit. 6. If we denote the distance from main road to Gate 1 as $x$, Gate 1 lies between main road and Gate 2 along the circular path. 7. Given the circular path setup and distances, and assuming the sum or Pythagorean context, one approximate approach is: $$ x = \sqrt{70^2 - 50^2} = \sqrt{4900 - 2500} = \sqrt{2400} \approx 49.0 \text{ meters} $$ 8. Thus, the distance from main road to Gate 1 is approximately 49 meters. Answer: $49$ meters.