Find the magnitude of the trucks horizontal component of displacement

AI Thread Summary
To find the horizontal component of the truck's displacement, trigonometric functions are applied to the given angle and distance. The truck travels 1270 meters at a 4.45-degree incline, requiring the use of cosine to calculate the horizontal displacement. The result yields a horizontal component of approximately 1270 * cos(4.45°). Additionally, the vertical component can be determined using sine, which will provide the vertical displacement. The discussion emphasizes the importance of using trigonometry for accurate calculations in displacement problems.
kimikims
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Can anyone help me with these 2 problems.. I have been stuck on them

Thanks!

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A car travels 1.14km in the x- direction, then turns left 74.1 degrees to the original direction and travels an additional distance of 3.18km. Calculate the x component of the car's net displacement. Answer in units of km.

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A truck travels 1270m uphill along a road that makes a constant angle of 4.45 degrees with the horizontal.

1) Find the magnitude of the trucks horizontal component of displacement. Answer in units of m.

2) Find the magnitude of the trucks veritical component of displacement. Answer in units of m.
 
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Draw a picture of the situation and add the given data (angles and distances).
Then use trigonometry. (You know, with triangles and stuff).
 

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