Slope Problem? A highway in a mountainous region climbs from a river towards a pass before dropping down into the next valley. After leaving the Bridge (El. 1,487.64m) , the highway extends 435m while rising at a constant inclination of 4.81% followed by 2840. at an average slope of 3.30% upwards and than up at a constant slope of 6.85% for 177m. Finally the highway rises at 4.47% for 928m. (All distances are provided as horizantal distnaces) What is the Elevation at the end of this section of a highway?? Please Present the final answer in the form of a table!

Expert Answers

An illustration of the letter 'A' in a speech bubbles

There are four distinct legs to the climb:

(1) Beginning elevation is 1487.64m

(2) Travel horizontal distance of 435m at a 4.81% grade. To find the height climbed we have `4.81/100=h/435==>h=20.92m`

(3) The next leg we travel horizontally 2840m with a 3.3% grade. The height climbed on this leg is found by `3.3/100=h/2840==>h=93.72m`

(4) The next leg we travel 177m at a 6.85% grade. The change in height is found by `6.85/100=h/177==>h=12.12m`

(5) The final leg we travel 928m horizontally at a 4.47% grade. The change in height is `4.47/100=h/928==>h=41.48m`

The total change in height is 20.92+93.72+12.12+41.48=168.24m

So the final elevation is 1487.64+168.24=1655.88m

Leg                           Elevation(m):
----                         ------------
Initial elevation            1487.64
Leg 1                         1508.56
Leg 2                         1602.28
Leg 3                         1614.40
Leg 4                         1655.88

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial Team