If line y=x is rotated by 30° in the anticlockwise direction, then find the angle of the line with positive X-axis now.
Answers
Answer:
75°
Step-by-step explanation:
Angle between line y = x and positive x-axis is 45°
30° + 45° = 75°
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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