Apole tilts toward the sun at a 12° angle from the vertical, and it casts a 20-foot shadow. the angle of elevation from the tip of the shadow to the top of the pole is 36°. what is the length of the pole? round your answer to the nearest tenth. a) 4.5 ft b) 7.1 ft c) 11.8 ft d) 17.6 ft

ANSWER IS D.

Process:

See in the attached fig,

BD=length of pole=?

AB=length of vertical(imagine)

BC=length of shadow=20 ft

In traingle ABC,

tan(36)=AB/BC

AB=tan(36)*20

AB=14.5308 ft

Now we find <BDC to use sine law.

For that,

<BDC+<DCB+<CBD=180

<BDC+36+(90+12)=180

<BDC=180-112-36

<BDC=42

Now we use sine law in traingle ABC,

BC/sin (<BDC) =BD/sin (<DCB)

20/sin(42)=BD/sin(36)

BD=(20*sin36)/sin42

BD=17.56=17.6(approx) >>>>>>>>ANSWER D

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.