Question

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?

Answer 1

θ = 64.5º

Step-by-step explanation:

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

tan θ =
`(y)/(x)`

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

in this case the angle is

θ = tan⁻¹
`(A_y)/(A_x)`

let's calculate

θ = tan⁻¹
`(15.9)/( 7.6)`

θ = tan⁻¹ 2.09

θ = 64.5º

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