11-14-2025, 10:30 PM
[border]TIER 8 — Advanced Modelling[/border]
Tier 8 — Challenge 002 — The Two-Beacon Navigation Puzzle
A drone is navigating using two ground beacons, A and B.
• A and B are exactly **1.4 km** apart
• The drone measures its distance from A as **1.0 km**
• It measures its distance from B as **1.2 km**
Assume all distances form a valid triangle.
Questions:
1. Using the Law of Cosines, compute the angle at beacon A.
2. Determine the two possible positions the drone could be in.
3. Explain which position is more likely if the drone’s direction of travel
is known to be “generally eastward.”
Show full reasoning.
? Submit Your Attempt
Thread title:
Tier 8 Attempt — YourUsername — Challenge 002
Tier 8 — Challenge 002 — The Two-Beacon Navigation Puzzle
A drone is navigating using two ground beacons, A and B.
• A and B are exactly **1.4 km** apart
• The drone measures its distance from A as **1.0 km**
• It measures its distance from B as **1.2 km**
Assume all distances form a valid triangle.
Questions:
1. Using the Law of Cosines, compute the angle at beacon A.
2. Determine the two possible positions the drone could be in.
3. Explain which position is more likely if the drone’s direction of travel
is known to be “generally eastward.”
Show full reasoning.
? Submit Your Attempt
Thread title:
Tier 8 Attempt — YourUsername — Challenge 002