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Water is harnessed to move a turbine. How is energy converted in this case?

Kinetic energy is converted to electrical energy.
Kinetic energy is converted to potential energy.
Potential energy is converted to kinetic energy.
Potential energy is converted to thermal energy.

Kinetic makes a turbine spin, creating electricity. So first one

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4