A man starts from a point A and walks 1000m on a bearing of 0255 degree .How far north is he from his starting point?
To determine how far north the man is from his starting point, we need to split the movement into its northward and eastward components.
By using basic trigonometry, we can find that the northward component of the movement is given by:
Northward component = Distance * sin(bearing)
The bearing is given as 0255 degrees, so we need to convert it to radians by multiplying by π/180.
Northward component = 1000m * sin(0255 * π/180)
Calculating this gives us:
Northward component ≈ 1000m * sin(4.43°)
Northward component ≈ 1000m * 0.0771
Northward component ≈ 77.1m
Therefore, the man is approximately 77.1 meters north of his starting point.