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: Define the starting point and directions. Let the starting point be the origin (0,0). North is in the positive y-direction. South is in the negative y-direction. East is in the positive x-direction. West is in the negative x-direction. Step 2: Trace Sonu's movements. Sonu walked 25 m towards south. Current position: (0, -25). Direction: South. Then took a left turn and walked 45 m. From South, a left turn is East. Movement: 45 m East. Current position: (0 + 45, -25) = (45, -25). Direction: East. Again he took a left turn and walked 25 m. From East, a left turn is North. Movement: 25 m North. Current position: (45, -25 + 25) = (45, 0). Direction: North. Finally he turned to his right and walked 20 m. From North, a right turn is East. Movement: 20 m East. Current position: (45 + 20, 0) = (65, 0). Direction: East. Step 3: Determine the final distance and direction from the starting point. The final position is (65, 0). The starting point was (0,0). The distance from the starting point is the magnitude of the displacement vector from (0,0) to (65,0). Distance = sqrt((65-0)^2 + (0-0)^2) = sqrt(65^2) = 65 m Since the final position is (65,0), which is along the positive x-axis relative to the origin, the direction is East. Sonu is 65 m, East from the starting point.