Manny drew a picture of a cruise ship that he saw docked at Port Canaveral. He used the scale 0.25 in.: 32 ft If his picture is 9.75 inches long, what is the length, in feet, of the actual cruise ship? A) 78 feet B) 312 feet C) 1,248 feet D) 6,240 feet

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

45

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