Respuesta :

Answer:

Option (A)

Explanation:

From the picture attached,

Given : Vector A with magnitude 12 m.

To Find : Components of vector A.

There are two components of any vector.

1). Horizontal component

2). Vertical component

If vector A represents the velocity, horizontal component of a vector decides the horizontal motion and vertical component decides the vertical motion.

To find these components we draw a right triangle OBA as shown in the figure,

From ΔOBA,

Sin(37)° = [tex]\frac{\text{AB}}{\text{OA}}[/tex]

             = [tex]\frac{{A_x}}{{A}}[/tex]

[tex]A_x=A\text{Sin}(37)[/tex]

     = 12Sin(37)°

     = 7.22 m

[tex]A_y=A\text{Cos}(37)[/tex]

     = 12Cos(37)°

     = 9.58 m

Therefore, Option (1) is the correct option.

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