SOLUTION: This is the last problem I have to do. . . A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock the length

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: This is the last problem I have to do. . . A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock the length       Log On


   



Question 54844: This is the last problem I have to do. . .
A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock the length of the rope from the boat to the dock is 3ft longer than twice the height of the dock above the water. Find the height of the dock.
Please Help me!

Answer by wgomero(28) About Me  (Show Source):
You can put this solution on YOUR website!
resolution:
the high of the dock = x
the rope from the boat to the dock is 3ft longer than twice the height of the dock= 2x + 3
setting the equation
2x + 3 = 12
2x = 9
x = 9/2
x = 4.5
dock high = 4 1/2 feet high.