T8anannicarmendge
T8anannicarmendge T8anannicarmendge
  • 13-10-2016
  • Mathematics
contestada

A road has a 10% grade. 1. What is the angle of elevation of the road? 2. If the road is 2km long, how much does it rise?

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HomertheGenius
HomertheGenius HomertheGenius
  • 17-10-2016
1.  m = rise/run
m = 10/100 = 0.1
tan α = 0.1
α = tan^(-1) 0.1 
α = 5.71 °
2. 2 km = 2,000 m
 x² + ( 0.1 x )² = 2,000²
 x² + 0.01 x² = 4,000,000
 1.01 x² = 4,000,000
 x = 1,990 m
 h = 1,990 m * 0.1
 h = 199 m
 
The road rises 199 m.
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