14. [5 pts] Two astronauts miss their first connection in space. a. If one astronaut circles Earth every 15 hours and the other every 18 hours, in how many
hours will they rendezvous again at the same time.

answer: i believe c. is the answer sorry if i am wrong

step-by-step explanation:

the answer is a

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

the answer is b