Question 89937: Patricia lives in a house on a hill. The grade of her street is 9%. The street ends at a river bank, 360 yards from her front door. Hector, Patricia’s boyfriend, lives in a house 240 yards down from hers. How much does the river level have to rise about the river bank to flood Hector’s basement?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Patricia lives in a house on a hill. The grade of her street is 9%. The street ends at a river bank, 360 yards from her front door. Hector, Patricia’s boyfriend, lives in a house 240 yards down from hers. How much does the river level have to rise about the river bank to flood Hector’s basement?
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Draw the picture; a triangle with a 9 degree angle at the river's edge.
Hector's house is 360-240 = 120 ft. from the river's edge.
You want the height of his house above the river.
Let that height be "x".
EQUATION:
sin(9 degrees) = x/120
x=120*sin(9 degrees)
x= 18.772 ft.
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Cheers,
Stan H.
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