SOLUTION: 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 2

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?
------------
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.
==================
Cheers,
Stan H.
RELATED QUESTIONS
Patricia lives in a house on a hill. The grade of her street is 9%. The street ends at... (answered by ankor@dixie-net.com)

Elliott street is 24ft wide when it ends at main street in brattleboro, vermont, a 40 ft (answered by ankor@dixie-net.com,KMST)

Tripper lives in a house on a straight street. For years, there have been 16 houses on... (answered by mccravyedwin)

North Avenue is 32 feet wide when it ends at Main Street. A 68 foot long diagonal... (answered by ankor@dixie-net.com)

Elliot Street is 24ft wide when it ends at Main Street in Brattleboro, Vermont. A 40-ft... (answered by solver91311)

This problem is really tripping me up, Mary is standing on one side of a 20 ft wide... (answered by Alan3354)

Jack and Jill live at opposite ends of the same street. Jack wanted to deliver a box at... (answered by ankor@dixie-net.com)

North avenue is 48 feet wide when it ends at main street. a 73 foot long diagonal... (answered by ankor@dixie-net.com)