🤔 WHY do we need BOTH parts?

❌ PROBLEM 1: Only using delta_x and delta_y separately
You moved: delta_x = 3, delta_y = 4 ❌ BAD: Just use delta_x = 3 (ignores vertical movement!) ❌ BAD: Just use delta_y = 4 (ignores horizontal movement!) ❌ BAD: Add them: 3 + 4 = 7 (wrong! you didn't move 7 units!)
🎯 SOLUTION: use_distance(delta_x, delta_y)
✅ GOOD: use_distance(3, 4) = √(3² + 4²) = √(9 + 16) = √25 = 5 This gives the REAL distance you moved!
❌ PROBLEM 2: What if you're moving in wrong direction?

You moved 5 units, but at 45° angle ❌ BAD: Just use 5 (counts full distance even if moving sideways!)
🎯 SOLUTION: × cos(angle)
✅ GOOD: 5 × cos(45°) = 5 × 0.707 = 3.54 Only count the part that helps reach your goal!
✅ FINAL SOLUTION: Both parts together!
fix_dist = use_distance(delta_x, delta_y) × cos(angle)
Step 1: use_distance(3, 4) = 5 (real distance moved) Step 2: 5 × cos(45°) = 3.54 (useful distance toward goal)
🏃‍♂️ REAL LIFE EXAMPLE

Imagine you're walking to a store:

🎯 Goal: Walk straight NORTH to the store 🚶 Reality: You walked 3 steps EAST, 4 steps NORTH ❌ Without use_distance(): "I took 7 steps total" (3+4=7) - WRONG! ❌ Without cos(): "I moved 5 units toward store" - WRONG! (you went diagonal) ✅ With BOTH: - use_distance(3,4) = 5 (actual distance walked) - 5 × cos(53°) = 3 (distance toward store) You walked 5 units total, but only 3 units helped you reach the store!