Question

Would someone just answer this now?

Answer 1

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:

$x=r\cos \theta$

$y=r\sin\theta$

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:

$x=47.3\cos (39.4^\circ)$

Using a scientific calculator to find the trigonometric function:

$x=47.3\cdot 0.7716$

x=36.5 m