How Do You Calculate Snow Projection Components on a Slope?

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SUMMARY

The discussion focuses on calculating the snow projection components on a slope inclined at 35 degrees. A ski jumper's splashed snow reaches a maximum position of 5 meters at an angle of 20 degrees from the vertical. To find the components parallel and perpendicular to the slope, participants emphasize the need to construct a right-angled triangle aligned with the slope rather than the ground. This approach ensures accurate calculations of the desired components.

PREREQUISITES
  • Understanding of trigonometric functions, specifically sine and cosine.
  • Knowledge of right-angled triangle properties.
  • Familiarity with angles and their measurements in degrees.
  • Basic physics concepts related to projectile motion.
NEXT STEPS
  • Study trigonometric functions in the context of inclined planes.
  • Learn how to resolve vectors into components on slopes.
  • Explore projectile motion equations and their applications on inclined surfaces.
  • Practice problems involving angles of elevation and depression in physics.
USEFUL FOR

Students in physics or mathematics, educators teaching trigonometry and physics, and anyone interested in understanding projectile motion on inclined surfaces.

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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