Answer :
Final answer:
The angle of the vector with an x-component of length 5 and y-component of length 4 can be calculated using the formula θ = tan^(-1)(4/5), which is approximately 38.7 degrees.
Explanation:
The question relates to calculating the angle of a vector based on its x and y-components. To find the angle, we can utilize trigonometric principles. Specifically, the tangent function (tan) is useful in such cases.
Here, the x-component of the vector is length 5 and the y-component length 4. The angle θ can be calculated using the formula tan(θ) = opposite/adjacent or tan(θ) = y/x. In this case, θ = tan^(-1)(4/5).
Using a calculator to find the inverse tangent of 4/5, we get θ ≈ 38.7 degrees. So, the answer to your question is option a) 38.7 degrees.
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