Question

If line y=x is rotated by 30° in the anticlockwise direction, then find the angle of the line with positive X-axis now.

Answer 1

Answer:

75°

Step-by-step explanation:

Angle between line y = x and positive x-axis is 45°

30° + 45° = 75°

Answer 2

The new angle would be 75°.

Given,

The line y = x has been rotated 30° in the anticlockwise direction

To Find,

The angle of the line from the positive x-axis now

Solution,

The line y = x when plotted forms 45° with the positive x-axis

When rotated in the clockwise direction, the angle with the positive x-axis will decrease.

When rotated in the anti-clockwise direction, the angle with the positive x-axis will increase.

In this case, the line is rotated by 30° in the anticlockwise direction.

New angle = Initial Angle + Angle of rotation

New angle = 45° + 30°

New angle = 75°

Please refer to the image attached.

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