SOLUTION: Hilly areas often have road signs giving the percentage grade for the road. A 5% grade, for example, means that the altitude changes by 5 feet for each 100 feet of horizontal dista

Algebra ->  Triangles -> SOLUTION: Hilly areas often have road signs giving the percentage grade for the road. A 5% grade, for example, means that the altitude changes by 5 feet for each 100 feet of horizontal dista      Log On


   

Question 567354: Hilly areas often have road signs giving the percentage grade for the road. A 5% grade, for example, means that the altitude changes by 5 feet for each 100 feet of horizontal distance.
Suppose an uphill road sign indicates a road grade of 3%. What is the angle of elevation of the road?
Answer by nerdybill(7384) About Me  (Show Source):
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Hilly areas often have road signs giving the percentage grade for the road. A 5% grade, for example, means that the altitude changes by 5 feet for each 100 feet of horizontal distance.
Suppose an uphill road sign indicates a road grade of 3%. What is the angle of elevation of the road?
A 3% grade means the altitude changes by 3 feet for each 100 feet.
Applying trigonometry,
tan x = 3/100
tan x = .03
x = 1.72 degrees