The trip to omaha to salt lake city interstate 80 is about 1516 kilometers. at 90 km perhour the trip would take about

16.84 hours

Step-by-step explanation:

You just divide the 1516 km by the 90 km to get how many hours it takes.

90 km   =      1 hr

1516 km           X

90 X = 1516

90        90

X= 16.84

step-by-step explanation:

1

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