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A vector is 253 m long and points in a 55.8 degree direction. Find the X-Component of the vector. Please help!

User Dmitry Z
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1 Answer

3 votes

Answer:

142.2 m

Step-by-step explanation:

The x-component of a certain vector can be found by using


v_x = v cos \theta

where

v is the magnitude of the vector


\theta is the angle between the direction of the vector and the positive x-direction

In this problem, we have

v = 253 m is the length (magnitude) of the vector


\theta=55.8^(\circ) is the angle

Substituting into the formula, we find


v_x = (253 m) cos 55.8^(\circ)=142.2 m

User Billyhole
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