How Do You Calculate Snow Projection Components on a Slope?

AI Thread Summary
To calculate the snow projection components on a slope, one must consider the angle of the slope and the angle of projection. The slope is at a 35-degree angle, while the snow projects at 20 degrees from the vertical. A right-angled triangle should be drawn with sides parallel and perpendicular to the slope, rather than the ground. Using trigonometric functions will help find the correct components based on these angles. Properly applying these principles will yield the desired parallel and perpendicular components relative to the slope.
BeckyStar678
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Homework Statement


a snow-covered ski slope makes an angle of 35 degrees with the horizontal. when a ski jumper plummets onto the hill, a parcel of splashed snow projects to a maximum position of 5 m at 20 degrees from the vertical in the uphill direction. find the components of its maximum position a.) parallel to the surface and b.) perpendicular to the surface.

Homework Equations


The Attempt at a Solution



would i just use a triangle with 20 degrees and 5 meters as the hypotenuse. then find the other two sides using trig and those two sides i find are the parallel and perpendicular sides
 
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Hi BeckyStar678! :smile:
BeckyStar678 said:
would i just use a triangle with 20 degrees and 5 meters as the hypotenuse. then find the other two sides using trig and those two sides i find are the parallel and perpendicular sides

No … that would give you the components parallel and perpendicular to the ground.

Hint: you need to draw a right-angled triangle with sides parallel and perpendicular to the slope.
 

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