Planetary Commander, Take Your Position!
👉 Defense System Manual:
☄️ [Meteor Alert] (Point & Circle): Based on radar "distance d" and base "radius r", predict if the meteor lands outside, on the line, or breaches the shield.
💥 [Laser Orbit] (Line & Circle): Enemy laser incoming! Compare "vertical distance d" with "radius r" to determine if there are 0, 1, or 2 intersections.
🛰️ [Tangent Counterattack] (Tangent Length): The ultimate weapon! Use the property "tangent is always perpendicular to the radius at the point of tangency" and the Pythagorean theorem to calculate the firing distance!
⚠️ Correct prediction +20 Energy, wrong prediction damages the base (-10 Energy). Decide carefully!
☄️ [Meteor Alert] (Point & Circle): Based on radar "distance d" and base "radius r", predict if the meteor lands outside, on the line, or breaches the shield.
💥 [Laser Orbit] (Line & Circle): Enemy laser incoming! Compare "vertical distance d" with "radius r" to determine if there are 0, 1, or 2 intersections.
🛰️ [Tangent Counterattack] (Tangent Length): The ultimate weapon! Use the property "tangent is always perpendicular to the radius at the point of tangency" and the Pythagorean theorem to calculate the firing distance!
⚠️ Correct prediction +20 Energy, wrong prediction damages the base (-10 Energy). Decide carefully!
Level 1
Preparing...
🤔 Commander, make your prediction: