SOLUTION: Can or could someone please help me solve this problem? A county ordinance requires a 2 1/4% "fall" for a sewage pipe from the house to the main pipe at the street. How much vertic

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Question 815341: Can or could someone please help me solve this problem? A county ordinance requires a 2 1/4% "fall" for a sewage pipe from the house to the main pipe at the street. How much vertical drop must there be for a horizontal distance of 45 feet? Express the answer to the nearest tenth of a foot.
Found 2 solutions by rothauserc, ewatrrr:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
consider the triangle ABC where
angle A = 90 degrees, angle B = 2 1/4 degrees and angle C = 87 3/4 degrees
from the law of sines for a triangle we have
b / sin B = c / sin C
b / sin 2 1/4 = 45 / sin C
b = ((sin 2 1/4) * 45) / sin 87 3/4
b = (.0392 * 45) / .9992
b = 1.8 feet
vertical drop is 1.8 feet

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

2 1/4% "fall" is 2.25%   0r  .0225

 v+=+4%2A.0225 = 1.0125ft drop