lorilhuff4442 lorilhuff4442
  • 09-02-2021
  • Physics
contestada

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?

Respuesta :

moya1316 moya1316
  • 11-02-2021

Answer:

 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 = [tex]\frac{y}{x}[/tex]

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

in this case the angle is

        θ = tan⁻¹   [tex]\frac{A_y}{A_x}[/tex]

let's calculate

        θ = tan⁻¹ [tex]\frac{15.9}{ 7.6}[/tex]

        θ = tan⁻¹ 2.09

        θ = 64.5º

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

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