Question

A vector is 253m long and points in a 55.8degree direction. Find the y-component of the vector.

Answer 1

The answer to your question is: 209 m

Step-by-step explanation:

Data

length = 253 m

d = 55.8°

y - component = ?

Formula

To solve this problem we need to use a right triangle a the trigonometric functions (sine, cosine, tangent, etc)

Now we have to choose among the trigonometric functions which one to use that relates the opposite side and the hypotenuse.

And that one is sineФ = os/h

we clear os = sineФ x h

os = sine 55.8 x253

os = 209 m

soh, cah, toa

Answer 2

209 m

Step-by-step explanation:

The y-component of a vector is the magnitude times the sine of the angle.

y = 253 sin 55.8°

y = 209