98.2k views
4 votes
Would someone just answer this now?

Would someone just answer this now?-example-1
User Ria
by
7.7k points

1 Answer

2 votes

Answer:

x=36.5 m

Step-by-step 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

User FedFranz
by
8.4k points

No related questions found