The earth goes around the sun 1 time per year. if the distance of the path is 2.72 million miles, how fast is the earth moving around the sun in miles per hour?

Step-by-step explanation:

Earth's movement around the Sun is constant, so its expressed by: .

However the problem is asking the speed in miles per hour, to do that we need to transform the time from years to hours.

We know that 1 year equals 8760 hours. Then, we replace all values in the equation and isolate :

Therefore, the speed of the Earth around the Sun is

PD: million is equivalent to

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