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# What is the 'steepest line' in an inclined plane? watch

1. This is from a STEP question but I'm just having problems understanding the wording...

Arthur and Bertha stand at a point O on an inclined plane. The steepest line in the plane through O makes an angle Z with the horizontal. Arthur walks uphill at a steady pace in a straight line which makes an angle Y with the steepest line, while Bertha walks uphill at the same speed in a straight line which makes an angle X with the steepest line (and is on the same side as the steepest line).

Would the steepest line be the equivalent to the x-axis of the plane that is now inclined? So, if I were to hold up a piece of card at an inclined angle to the horizontal to represent the plane, would the steepest line simply be one of the inclined edges?

Thanks
2. Yeah, any line parallel to the inclined edges will be a 'steepest' line.

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Updated: November 12, 2008
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