A man starts from a point A and walks 1000m on a bearing of 025 degree .How far north is he from his starting point?
To find how far north the man is from his starting point, we need to find the north component of the displacement.
The bearing of 025 degrees indicates that the direction is clockwise from due north.
To find the north component, we can use trigonometry. The north component can be calculated using the cosine function.
Cosine of 025 degrees = adjacent/hypotenuse
Adjacent = north component
Hypotenuse = total displacement (1000m)
Since we want to find the north component, we rearrange the equation:
Adjacent = Cosine of 025 degrees × hypotenuse
Adjacent = cos(25°) × 1000m
Adjacent ≈ 0.906 × 1000m
Adjacent ≈ 906m
Therefore, the man is approximately 906 meters north of his starting point.