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Answer to Question #14783 in Calculus for muntadhar

Question #14783
A vector has a magnitude of 5. When its tail is at the origin it lies between the positive x-axis and the negative y-axis and makes an angle of 38o with the x axis. Its y-component has a length of:
Expert's answer
Here is the illustration:

___________ +Ox
|\ α=38°
| \
|& \
| \
| \
| & \ V
|
|
-Oy

V is our vector, Vx and Vy are his x- and y- components. Then:

|V| = 5

|Vy| = |V|*sinα = 5*sin38 ≈ 3.0783.

So, the vector's y-component has a length of approximately 3.0783.

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