A vector has components A x = 7.6 m and A y = 15.9 m. What is the angle (in degrees that vector makes with the x-axis?

 θ = 64.5º

Explanation:

To find the angles of a vector with respect to some axis of a coordinate system, the tangent function is used.

           tan θ =

where y is the opposite leg and x is the adjacent leg

in this case the angle is

        θ = tan⁻¹  

let's calculate

        θ = tan⁻¹

        θ = tan⁻¹ 2.09

        θ = 64.5º

this angle is with respect to the positive pâté of the x axis