Answer:
<em>x=36.5 m</em>
Explanation:
<u>Rectangular Components of a Vector</u>
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:
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:
Using a scientific calculator to find the trigonometric function:
x=36.5 m