Aroad has a 10% grade, meaning increasing 1 unit of rise to every 10 units of run. a) what is the elevation of the road to the nearest degree? b) if the road is two km long, how much does it rise? round your answer to the nearest tenth?

Part a) The elevation of the road is

Part b) The rise is

Step-by-step explanation:

Part a) What is the elevation of the road to the nearest degree?

Let

y-----> the rise of the road ( vertical distance)

x ----> the run of the road (horizontal distance)

we have

y/x=1/10

we know that

The ratio y/x is equal to the tangent of the angle of the elevation of the road

Let

---->  angle of the elevation of the road

Part b)  If the road is two km long, how much does it rise?

using proportion

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.