Answer :
Final answer:
For a vector with an x-component of 3 and a y-component of 4, its angle from the x-axis can be found using the inverse tangent of the y-component divided by the x-component. This gives an angle of approximately 53.1 degrees.
Therefore correct option is A.
Explanation:
The given question pertains to vectors and their angles. A vector in a two-dimensional space is represented by two components: its x-component and its y-component. When a vector has an x-component of 3 and a y-component of 4, we can determine the angle that this vector makes with the x-axis using the tangent function in trigonometry.
The formula to find the angle (θ) is based on the tangent of the angle, which equals the y-component divided by the x-component. Therefore, tan(θ) = y/x = 4/3. Using an inverse tangent function (often available on a scientific calculator as 'tan^-1'), you can find the angle θ = tan^-1(4/3).
Resolving this, we get an angle of approximately 53.1 degrees. Hence, the correct answer should be (a) 53.1 degrees.
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