contestada

1. A vector is given by its components, Ax = 2.5 and A, = 7.5. What angle
does vector A make with the positive x-axis?
(A) 720
(B) 18°
25°
50°
(E) 75°

Respuesta :

rafaleo84

Answer:

A) 72° or 71.56°

Explanation:

We have two components on the X-axis and y-axis respectively. So we can use the tangent of the angle to be able to find the angle with respect to the horizontal component.

Ax = 2.5

Ay = 7.5

tan(α) = 7.5/2.5

[tex]\alpha = tan^{-1} (3)\\[/tex]

α = 71.56°

ajeigbeibraheem

The angle that vector A makes with the positive horizontal x-axis is 72°. Option A is correct.

  • The vector component Ax = 2.5 along the horizontal axis.
  • The vector component Ay = 7.5 along the vertical axis.

The angle at which vector A makes with the horizontal can be determined by taking the tangent of the angle θ.

we know that:

[tex]\mathbf{\tan \theta = \dfrac{opposite }{adjacent}}[/tex]

[tex]\mathbf{\tan \theta = \dfrac{7.5 }{2.5}}[/tex]

tan  θ = 3

θ = tan⁻¹ (3)

θ = 71.57°

θ ≅ 72°

Learn more about vectors here:

https://brainly.com/question/13322477?referrer=searchResults

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