14. (10 pts) On the topographic map that follows, find the slope ratio, slope pe
ID: 291135 • Letter: 1
Question
14. (10 pts) On the topographic map that follows, find the slope ratio, slope percentage, and slope angle for lines E-F and G-H. (If the print is too small, then click on the map and enlarge it.)
Rise
Run
slope ratio
slope percentage
slope angle
(in degrees)
pt. E to pt. F
pt. G to pt. H
Rise
Run
slope ratio
slope percentage
slope angle
(in degrees)
pt. E to pt. F
pt. G to pt. H
42 30" 232 233 4950 3/5 CButte in 18 Substa i CAMP 46 0 1000 1 MILE 1000 2000 3000 4000 5000 6000 7000 FEET 1 KILOMETER CONTOUR INTERVAL 10 FEETExplanation / Answer
Point E - 300 feet Point F - 250 feet Rise = 300-250 = 50 feet scale is 5mm = 1 km E to F measured in map is 15 mm 3 times 5 mm is 15 mm. if 5mm = 1 km, then 15 mm = 3 times 1 km = 3 km run is 3 km = 3000 m 1m = 3.28 feet 3000 m = 3000 x 3.28 =9842.5 feet slope = vertical difference / horizontal distance = rise/ run = 50 feet / 9842.5 feet = 1/492125 slope ratio is 1:492125 Slope percentage = 0.000203 % slope angle = Tan-1 (vertical / horizontal) = Tan-1 (50/ 9842.5) Slope angle = 0.2864 degrees ---------------------------------------------------------------------------------------------------- Point G - 200 feet Point H - 350 feet Rise = 350-200 = 150 feet scale is 5mm = 1 km E to F measured in map is 20 mm 4 times 5 mm is 20 mm. if 5mm = 1 km, then 15 mm = 4 times 1 km = 4 km run is 4 km = 4000 m 1m = 3.28 feet 4000 m = 4000 x 3.28 = 13123.36 feet slope = vertical difference / horizontal distance = rise/ run = 150 feet / 13123.36 feet = 1/1968504 slope ratio is 1:1968504 Slope percentage = 0.00005 % slope angle = Tan-1 (vertical / horizontal) = Tan-1 (150/ 13123.36) Slope angle = 0.654 degrees
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