Q1. Angle of lineUnsolvedUsing hints is now penalty freeUse HintSuppose you are given an equation of a line y= 3 1 x+2. What is the angle of the line w.r.t x-axis?Choose the correct answer from below:Your score for this problem will be decided based on your FIRST SUBMISSION ONLY60 ∘ 30 ∘ 45 ∘ Cannot be determined
Question
Q1. Angle of lineUnsolvedUsing hints is now penalty freeUse HintSuppose you are given an equation of a line y= 3 1 x+2. What is the angle of the line w.r.t x-axis?Choose the correct answer from below:Your score for this problem will be decided based on your FIRST SUBMISSION ONLY60 ∘ 30 ∘ 45 ∘ Cannot be determined
Solution
To find the angle of the line with respect to the x-axis, we need to determine the slope of the line.
The given equation of the line is y = (3/1)x + 2.
The slope of a line is given by the coefficient of x in the equation. In this case, the coefficient of x is 3/1, which simplifies to 3.
The angle of a line with respect to the x-axis can be found using the formula: angle = arctan(slope).
So, the angle of the line with respect to the x-axis is angle = arctan(3).
To find the value of this angle, we can use a calculator or a trigonometric table.
The correct answer is: Cannot be determined, as we need to calculate the arctan(3) to find the angle.
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