a car goes to 10km due south,then it turns west and goes 5 km.Now it turns back and goes 10km due north.Where is the car from starting point?
did you make a sketch?
Isn't it just 5 km due west of where it started from without doing any calculations?
To determine the location of the car from the starting point, we can visualize the car's movement using a coordinate system. Let's assign the starting point as the origin (0,0).
1. The car goes 10 km due south: This means the car moves downwards, so its new coordinates would be (0,-10).
2. The car turns west and goes 5 km: Moving west means moving to the left on the coordinate system. The new coordinates will be (-5, -10).
3. The car turns back and goes 10 km due north: Going north means moving upwards on the coordinate system. The final coordinates will be (-5, 0).
Therefore, the car's final location is 5 km west and at the same latitude as the starting point.