What percentage grade should a road have if the angle of elevation of the road is 2 degrees? (The percentage grade is defined as the change in the altitude of the road over a 100-foot horizontal distance. For example a 5% grade means that the road rises 5 feet for every 100 feet of horizontal distance.)   Round your answer to two decimal places.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 73E
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What percentage grade should a road have if the angle of elevation of the road is 2 degrees? (The percentage grade is defined as the change in the altitude of the road over a 100-foot horizontal distance. For example a 5% grade means that the road rises 5 feet for every 100 feet of horizontal distance.)

 

Round your answer to two decimal places.

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Step 1

The angle of elevation of the road is 2 degrees.

Let x be the rise for every 100 feet of horizontal distance.

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