Answer:
The y-component of the vector is approximately -67.844 meters.
Step-by-step explanation:
A vector [tex]\vec v[/tex] in rectangular form are defined by the following form:
[tex]\vec v = (r\cdot \cos \theta, r\cdot \sin \theta)[/tex] (1)
Where:
[tex]r[/tex] - Magnitude, measured in meters.
[tex]\theta[/tex] - Direction with respect to +x semiaxis, measured in sexagesimal degrees.
Please notice that the y-component of the vector corresponds to the second component of the definition. If we know that [tex]r = 101\,m[/tex] and [tex]\theta = 222.2^{\circ}[/tex], then the y-component of the vector is:
[tex]y = r\cdot \sin \theta[/tex] (2)
[tex]y = (101\,m)\cdot \sin 222.2^{\circ}[/tex]
[tex]y \approx -67.844\,m[/tex]
The y-component of the vector is approximately -67.844 meters.
