A wire that is 80 feet long is attached to the side of a radio transmission tower. The wire is 10 feet from the top of the radio transmission tower, the wire makes an angle of 25 degrees with the ground. How high is the tower?

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

answer: i wpould go with c

step-by-step explanation:

b

step-by-step explanation: