This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: The journey forms a right triangle with legs of 300 km (west) and 100 km (south). The straight-line distance d from start to end is the hypotenuse: d = sqrt((300~km))^2 + (100~km)^2 Step 2: Square the distances. (300)^2 = 90,000 (100)^2 = 10,000 Step 3: Add the squares. 90,000 + 10,000 = 100,000 Step 4: Take the square root. d = sqrt(100,)000 = sqrt(10,)000 × 10 = 100sqrt(10)~km Final answer: 100sqrt(10)~km