The components of the vector with magnitude 54 and the angle of 69° from the horizontal can be written as <19.3519, 50.4133>.
What is a vector?
A vector is a quantity that has both magnitude and direction. It has two components a vertical component(Sine) and a horizontal component(Cosine). The component of a vector can be written as,
Vertical component, [tex]V_y = \vec V\ Sin(\theta)[/tex]
Horizontal component, [tex]V_x = \vec V\ Cos(\theta)[/tex]
We know that a vector can be divided into two components a horizontal component and a vertical component, therefore, the vector components can be written as,
[tex]V_y = \vec V Sin\theta\\\\V_y = 54\ Sin(69^o)\\\\V_y = 50.4133[/tex]
[tex]V_x = \vec V Cos\theta\\\\V_x = 54\ Cos(69^o)\\\\V_x = 19.3519[/tex]
Hence, the components of the vector with magnitude 54 and the angle of 69° from the horizontal can be written as <19.3519, 50.4133>.
Learn more about Vectors:
https://brainly.com/question/13188123
