The height of a leaning tower is 150 meter high, the base make a 72 degree angle a key drops from the top of a tower. I want to know the distance from the key to the base of the tower. I will give the brainiest to who ever can answer this correctly.

answer: d. $20

step-by-step explanation:

just took the test

30

step-by-step explanation:

times by times

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.

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