Answer:
[tex]y = 20.7[/tex]
Step-by-step explanation:
Given
The figure above
Required
Calculate the y component
Represent the y component with y, the resultant vector with s and the angle with [tex]\theta[/tex]
The y component of a vector (as it is, in this case) is calculated as thus;
[tex]sin\theta = \frac{y}{s}[/tex]
[tex]Where\ \theta = 15\\ s = 80[/tex]
Substituting these values in the equation
[tex]sin\theta = \frac{y}{s}[/tex] becomes
[tex]sin\ 15= \frac{y}{80}[/tex]
Multiply both sides by 80
[tex]80 * sin\ 15= \frac{y}{80} * 80[/tex]
[tex]80 * sin\ 15= y[/tex]
[tex]80 * 0.2588190451= y[/tex]
[tex]20.705523608 = y[/tex]
[tex]y = 20.705523608[/tex]
[tex]y = 20.7[/tex] (Approximated)
