Question

Find the west component of 45 m 19º S of W

Answer 1

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:

$(x, y) = (r_{x}, r_{y})$

Where:

$r_{x}$ - Horizontal component of vector distance, measured in meters.

$r_{y}$ - Vertical component of vector distance, measured in meters.

Let suppose that east and north have positive signs, then we get the following expression:

$(x, y) = (-45\cdot \cos 19^{\circ}, -45\cdot \sin 19^{\circ})\,[m]$

$(x, y) = (-42.548,-14.651)\,[m]$

The west component corresponds to the first component of the ordered pair. That is to say:

$x = -42.548\,m$

The west component of the given vector is - 42.548 meters.