A hot air balloon is rising at a rate of 4feet per second. Another aircraft nearby is at 7452 feet and is losing altitude at the rate of 30feet per second. In how many seconds will the hot airballoon be at the same altitude as the other aircraft?

bob

Step-by-step explanation:

-4

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