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Mathematics 22 Online
OpenStudy (anonymous):

I NEED HELP!! Wires are attached to a pole to make it more secure. The diagram shows one of those wires having a length of 220 feet. The angle of elevation from the ground to the top of the pole is 36. What is the height of the pole?

OpenStudy (espex):

What is the problem, where is it you are stuck?

OpenStudy (anonymous):

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OpenStudy (anonymous):

I don't know how to get the height of the pole with only one side and a angle degrees.

OpenStudy (espex):

Are you familiar with SOH CAH TOA?

OpenStudy (anonymous):

No

OpenStudy (espex):

SOH CAH TOA are common acronyms for the following:\[\sin{\theta}=\frac{Opp}{Hyp}\]\[\cos{\theta}=\frac{Adj}{Hyp}\]\[\tan{\theta}=\frac{Opp}{Adj}\]Using the angle in question, you can take the leg next to, or opposite of, in conjunction with the hypotenuse to solve for the missing part.

OpenStudy (anonymous):

oh yea, so I would use the sin one for this?

OpenStudy (anonymous):

\[\sin A= opposite/hypotenuse \] \[\sin 36 degrees = x/220 \] \[129\approx x\]

OpenStudy (espex):

That is the answer I got, 129.313

OpenStudy (espex):

Nice work.

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