Atruck travels 1430 m uphill along a road that makes a constant angle of 5.76◦ with the horizontal. find the magnitude of the truck's horizon- tal component of displacement. answer in units of m.

1422.8 m

Explanation:

Given:

Displacement of the truck is,

The direction of the truck's displacement is 5.76° with the horizontal.

A vector inclined at angle with the horizontal is resolved into 2 components which are mutually perpendicular to each other. One of the component is along the horizontal and the other is along the vertical.

If a vector 'A' is inclined at an angle with the horizontal, then its horizontal and vertical components are given as:

Here, the vector is 'S' and its horizontal component is needed.

Therefore, the horizontal component is given as:

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