To reach point B from point A, Anita must walk 70 m towards the west, then take a right turn and walk 70 m, then take a left turn and walk 150 m, then take another left turn and walk 70 m, then take a left turn and walk 90 m, then take a right turn and walk 100 m, and finally take a left turn and walk 130 m. How far and in which direction is point B from point A?

Explanation

To solve this problem, let's break down Anita's journey step by step and calculate her final position relative to her starting point, point A. Step-by-Step Journey: 1. 70 m West: Anita moves 70 m west from point A. 2. Right Turn, 70 m: A right turn from west means she is now facing north. She walks 70 m north. 3. Left Turn, 150 m: A left turn from north means she is now facing west. She walks 150 m west. 4. Left Turn, 70 m: A left turn from west means she is now facing south. She walks 70 m south. 5. Left Turn, 90 m: A left turn from south means she is now facing east. She walks 90 m east. 6. Right Turn, 100 m: A right turn from east means she is now facing south. She walks 100 m south. 7. Left Turn, 130 m: A left turn from south means she is now facing east. She walks 130 m east. Calculating Net Displacement: Let's add up Anita's movements in the east-west and north-south directions separately. East-West Movements: West: 70 m + 150 m = 220 m west. East: 90 m + 130 m = 220 m east. The total movement in the east-west direction cancels out to 0 m. North-South Movements: North: 70 m. South: 70 m + 100 m = 170 m south. The net north-south displacement is 70 m north−170 m south=100 m south70 \, \text{m north} - 170 \, \text{m south} = 100 \, \text{m south}70m north−170m south=100m south. Final Answer: Anita is 100 meters south of point A.