Answer:
x=6.39 m
Explanation:
Rectangular Components of a Vector
Vectors can be expressed in several forms, including the magnitude-angle form, and the rectangular-coordinates form.
If the magnitude r and angle β are given, we can find the rectangular coordinates (x,y) as follows:
[tex]x=r\cos\beta[/tex]
[tex]y=r\sin\beta[/tex]
The vector of the question has a magnitude of r=9.55 m and an angle β=-48°. The x-component is:
[tex]x=9.55\cdot\cos(-48^\circ)[/tex]
Using a digital calculator:
x=6.39 m
