Answer:
x=36.5 m
Explanation:
Rectangular Components of a Vector
A vector can be expressed as an ordered pair (x,y) where x is the x-coordinate, and y is the y-coordinate of a rectangular system.
It can also be given as a magnitude-angle pair (r,θ) where θ is measured from the positive x-axis. It's also known as polar coordinates.
The conversion from polar to rectangular coordinates is:
[tex]x=r\cos \theta[/tex]
[tex]y=r\sin\theta[/tex]
We are given the vector as a magnitude r=47.3 m and at an angle θ=39.4°. The x-component of the vector is:
[tex]x=47.3\cos (39.4^\circ)[/tex]
Using a scientific calculator to find the trigonometric function:
[tex]x=47.3\cdot 0.7716[/tex]
x=36.5 m
