112k views
5 votes
What is the length of the y-component of the vector shown below? A. 77.3 B. 15.0 C. 20.7 D. 21.4

What is the length of the y-component of the vector shown below? A. 77.3 B. 15.0 C-example-1
User Helen K
by
3.7k points

1 Answer

6 votes

Answer:


y = 20.7

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
\theta

The y component of a vector (as it is, in this case) is calculated as thus;


sin\theta = (y)/(s)


Where\ \theta = 15\\ s = 80

Substituting these values in the equation


sin\theta = (y)/(s) becomes


sin\ 15= (y)/(80)

Multiply both sides by 80


80 * sin\ 15= (y)/(80) * 80


80 * sin\ 15= y


80 * 0.2588190451= y


20.705523608 = y


y = 20.705523608


y = 20.7 (Approximated)

User Evos
by
3.9k points