Answer:
The west component of the given vector is - 42.548 meters.
Explanation:
We need to translate the sentence into a vectoral expression in rectangular form, which is defined as:
[tex](x, y) = (r_{x}, r_{y})[/tex]
Where:
[tex]r_{x}[/tex] - Horizontal component of vector distance, measured in meters.
[tex]r_{y}[/tex] - Vertical component of vector distance, measured in meters.
Let suppose that east and north have positive signs, then we get the following expression:
[tex](x, y) = (-45\cdot \cos 19^{\circ}, -45\cdot \sin 19^{\circ})\,[m][/tex]
[tex](x, y) = (-42.548,-14.651)\,[m][/tex]
The west component corresponds to the first component of the ordered pair. That is to say:
[tex]x = -42.548\,m[/tex]
The west component of the given vector is - 42.548 meters.
