A man drives 5 km north, then 5 km west, then 5 km south. Which direction is he from start? MCQ with Answer and Explanation

Explanation:
Let P be (0,0). Q is (0,-12). R is West of P, so R is (x, 0). Distance R to Q is 13. By Pythagoras, x² + (-12)² = 13² -> x² + 144 = 169 -> x² = 25 -> x = -5 (West). So R is at (-5, 0). S is 24km South of R, so S is at (-5, -24). Distance from Q(0,-12) to S(-5,-24) -> Δx = -5, Δy = -12. Distance = √((-5)² + (-12)²) = 13km. S is West and South of Q

Explanation:
West 8, right (north) 6, left (west) 5. Net: west 13, north 6 -> North-west.

Explanation:
East 6, right (south) 8. Right triangle: √(6²+8²) = √(36+64) = √100 = 10 km.