What is the horizontal displacement of an automobile that travels 75 km in a direction of 45 degrees northeast?

The horizontal displacement travelled by the automobile is of 53.03 m.

Given data:

The distance covered at North-East is, d = 75 km.

The direction towards the North-East is, .

We need to find the horizontal displacement of an automobile. In general, the horizontal component of displacement is the cosine component of given displacement. Then horizontal displacement is given by the formula as follows,

Solve by substituting the values as,

Thus, we can conclude that the horizontal displacement travelled by the automobile is of 53.03 m.

Learn more about the horizontal component of physical quantity here:

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53.03 m

Explanation:

Given that,

Displacement of the automobile, d = 75 m

It is in the direction of 45 degrees northeast

We need to find the horizontal displacement of an automobile. Its horizontal displacement is given by the formula as follows :

Hence, the horizontal displacement of the automobile is 53.03 m.