Question

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

Answer 1

Answer:

$y = 20.7$

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 $\theta$

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

$sin\theta = \frac{y}{s}$

$Where\ \theta = 15\\ s = 80$

Substituting these values in the equation

$sin\theta = \frac{y}{s}$ becomes

$sin\ 15= \frac{y}{80}$

Multiply both sides by 80

$80 * sin\ 15= \frac{y}{80} * 80$

$80 * sin\ 15= y$

$80 * 0.2588190451= y$

$20.705523608 = y$

$y = 20.705523608$

$y = 20.7$ (Approximated)