Incline Planes: question about distance?

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    Incline Planes
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Discussion Overview

The discussion revolves around the question of whether the distance traveled by an object sliding down an inclined plane is measured along the base or the hypotenuse of the triangle formed by the incline. The scope includes conceptual clarification related to the geometry of inclined planes.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant suggests that the distance traveled is along the hypotenuse of the triangle.
  • Another participant reiterates that the distance is measured along the surface of the incline, which corresponds to the hypotenuse.
  • A later reply questions the labeling of the base as "x" and reflects on the relevance of this detail to the overall problem, indicating some uncertainty about its impact on the calculations.

Areas of Agreement / Disagreement

Participants generally agree that the distance is measured along the hypotenuse, but there is some uncertainty regarding the implications of labeling and its effect on the problem at hand.

Contextual Notes

There is a mention of potential confusion regarding the labeling of the base and its relevance to the mathematical problem, but no specific assumptions or definitions are clarified.

jmosque
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Does the distance traveled by an object sliding down an incline plane pertain to the base or the hypotenuse of the triangle? My guess is the hypotenuse, but I want to make sure in order to settle this matter once and for all.
 
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The distance traveled is along the hypotenuse yes.
 
jmosque said:
Does the distance traveled by an object sliding down an incline plane pertain to the base or the hypotenuse of the triangle? My guess is the hypotenuse, but I want to make sure in order to settle this matter once and for all.
When something slides down an inclined plane, the distance traveled is usually measured along the surface of the incline, which can be thought of as the hypotenuse of a right triangle.

What exact question did you have in mind?
 
Doc Al said:
When something slides down an inclined plane, the distance traveled is usually measured along the surface of the incline, which can be thought of as the hypotenuse of a right triangle.

What exact question did you have in mind?

That was my question, for the purpose of making a schematic of an incline pane. I was going to label the base as "x" but then I questioned whether that was correct. In retrospect, it was somewhat of a dumb question because I don't really think this small matter would have affected any of the math in my problem.Thank you both for your help! :)
 

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