The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach Saturn from Earth. Show your work. Convert your answer into scientific notation if necessary.

It depends on the location of the Earth and Saturn. Depending on whether the earth is between sun and saturn, or sun is between earth and saturn, the distance from earth to saturn varies. Obviously, if the earth is between the Sun and Saturn, the shortest distance will be. We will understand that the gap between Earth and Saturn is:    

Step-by-step explanation:

s = 1 275 000 000 km

The time required to travel that distance is:

t = s/v = 45535 hours or 1897.3 days

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