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

Question

asked Feb 14, 2021 112k views

1 Answer

Evos · Answer 1 · 2021-02-19T11:42:44+0000

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)