Jae is fishing from a small boat. her fishing hook is 16 feet below her, and a fish is swimming at the dame depth as the hook, 12 feet away. how far is jae from the fish? (im working with right angles btw and im not sure if im looking for the leg or the hypotenuse and if i did know i dont think id be asking this question lol)

-6 is the correct option from the above given options

1/800 is the right answer

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