Answer:
Explanation:
To find the equation of the line that makes an angle of 60 degrees with the OX axis and intersects the OY axis at the point (0, 3), you can use the slope-intercept form of a line:
y=mx+b
In this equation, m is the slope of the line, and b is the y-intercept (the value of y when x=0).
The slope m can be determined from the angle of inclination. A line making an angle of 60 degrees with the OX axis has a slope of
tan(60∘ )= 3√
So now, we have the slope (m= 3√ ) and the y-intercept (b=3), which is given as (0, 3). Now, you can write the equation of the line:
y= 3 √ x+3
This is the equation of the line that makes a 60-degree angle with the OX axis and intersects the OY axis at the point (0, 3).