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A hill that has a 12.0$\%$ grade is one that rises 12.0 $\mathrm{m}$ vertically forevery 100.0 $\mathrm{m}$ of distance in the horizontal direction. At what angle issuch a hill inclined above the horizontal?

$6.84^{\circ}$

Physics 101 Mechanics

Chapter 1

Introduction and Mathematical Concepts

Physics Basics

Cornell University

University of Washington

McMaster University

Lectures

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All right, So for problem today we have a deal, user. Nice. Lovely little hill. And it is at a 12% grade. Or that the site here, 12% grade. All right, What a 12% grade means is that for every 100 meters it goes across, it rises 12 meters. All right, so we're gonna find out what angle above the horizontal. This is 12% grade. So if we have our Anglo theater right here, um, weaken use a tricky creation and say that the tangent with ada attention always uses opposite or over adjacent side. So here's our opposite side. Oh, driving green here interacting with me. All right, here's our opposite side, and you're sure it, Jason side right. Here you go. So, uh, opposite side is full of meters. Marry Jason side this 100 meters. So if we take the arq tension toe, whole sides will find that sita is equal to zero. Um, Arc Tangent of 12 over 100 which, if you plug it into your calculator calculator, you'll find that it is equal to six point age four degrees. And there you have it

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