application: length of cylinder of Archimedean screw, if....

[ksilva10]

The Archimedean screw is a water-raising device that consists of a wooden screw enclosed within a cylinder. When the cylinder is turned, the screw raises water. The screw is very efficient at an angle measuring 25 degrees. If a screw needs to raise water 2.5 meters, how long should its cylinder be?

 

[Loren]

Re: application

Did you draw a sketch of a right triangle with a base angles of 90° and 25° and the hypotenuse of 2.5 meters? If so, you can use one of your trigonometry functions to calculate the short leg.