Jocy has two tanks for holding water in her property. both tanks are 50 inches tall. tank a is empty and jocy is filling the tank, for each minute jocy is filling the tank, the height of the water in tank a increased by 3.7 inches. tank b is full and jocy is draining the tank. for each minute jocy is draining the tank. the height of the water tank b decreases by 1.9 inches. approximately how many minutes will pass until the height of the water in tank a and tank b is the same?

answer: finding the extract measurements and knowing the points

step-by-step explanation:

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