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 439420: 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.
What percentage grade should be put on a road sign where the angle of elevation of the road is 2 degrees?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Let be the angle of elevation or depression of the road. Then , and then we can solve for .

When the angle is 2 degrees, then the percentage grade is equal to