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From a hot air balloon, the angle between a radio antenna straight below and the base of the library downtown is 57°, as shown below. If the height of the balloon is 15 miles, what is the distance between the radio antenna and the library?

Mathematics
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Howdy.
|dw:1336435993255:dw| Is this right?
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|dw:1336436127388:dw|
Oooh. Cool. Got it.
Alright, so the first step is to figure out which trig function is worth using. To figure this out, I like to find where the angle I know is and then label my sides opposite, adjacent, and hypotenuse.
You know which side is which?
The hypotenuse is the opposite side of 15 miles and the adjacent side is...have no idea?
|dw:1336436548036:dw|
Cool? The 15 miles side is adjacent to the angle we know. The x side is opposite from that angle. The hypotenuse is always the long side, the one opposite from the right angle.
Well I got the hypotenuse side right :) Okay got the other sides, thanks!
1 sec...
I am not really sure, I am not good at geometry, would you like me to try to get someone else here?
sorry, but do you want me to try to get someone that know it here?
It's okay :) You don't have to do that! Haha I'll just guess :)
no! wait, let me get someone
Mildly obnoxious, bro. lols.
it works...
Abbie, the side you know is adjacent. The side you need to know is opposite. See that? Which trig function involves opposite and adjacent?
Oh okay I see that. And tangent!
uhmm im assuming no help necessary anymore?
I am pretty sure that it is... Is it abbie?
Yes, it's tangent. Write an equation using tangent. Tan(57) = opposite/adjacent = x/15 solve for x
Yeah, I think so too @Drake Thank you for helping me :)
Thanks @SmoothMath :)

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