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Abbie23

  • 3 years ago

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?

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  1. SmoothMath
    • 3 years ago
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    Howdy.

  2. SmoothMath
    • 3 years ago
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    |dw:1336435993255:dw| Is this right?

  3. SmoothMath
    • 3 years ago
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    What is wrong?

  4. Abbie23
    • 3 years ago
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    |dw:1336436127388:dw|

  5. SmoothMath
    • 3 years ago
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    Oooh. Cool. Got it.

  6. SmoothMath
    • 3 years ago
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    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.

  7. SmoothMath
    • 3 years ago
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    You know which side is which?

  8. Abbie23
    • 3 years ago
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    The hypotenuse is the opposite side of 15 miles and the adjacent side is...have no idea?

  9. SmoothMath
    • 3 years ago
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    |dw:1336436548036:dw|

  10. SmoothMath
    • 3 years ago
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    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.

  11. Abbie23
    • 3 years ago
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    Well I got the hypotenuse side right :) Okay got the other sides, thanks!

  12. DoomDude
    • 3 years ago
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    1 sec...

  13. DoomDude
    • 3 years ago
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    I am not really sure, I am not good at geometry, would you like me to try to get someone else here?

  14. DoomDude
    • 3 years ago
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    sorry, but do you want me to try to get someone that know it here?

  15. Abbie23
    • 3 years ago
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    It's okay :) You don't have to do that! Haha I'll just guess :)

  16. DoomDude
    • 3 years ago
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    no! wait, let me get someone

  17. DoomDude
    • 3 years ago
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    @amistre64 @lgbasallote @imranmeah91 @LagrangeSon678 @AccessDenied

  18. SmoothMath
    • 3 years ago
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    Mildly obnoxious, bro. lols.

  19. DoomDude
    • 3 years ago
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    it works...

  20. SmoothMath
    • 3 years ago
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    Abbie, the side you know is adjacent. The side you need to know is opposite. See that? Which trig function involves opposite and adjacent?

  21. Abbie23
    • 3 years ago
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    Oh okay I see that. And tangent!

  22. lgbasallote
    • 3 years ago
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    uhmm im assuming no help necessary anymore?

  23. DoomDude
    • 3 years ago
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    I am pretty sure that it is... Is it abbie?

  24. SmoothMath
    • 3 years ago
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    Yes, it's tangent. Write an equation using tangent. Tan(57) = opposite/adjacent = x/15 solve for x

  25. Abbie23
    • 3 years ago
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    Yeah, I think so too @Drake Thank you for helping me :)

  26. Abbie23
    • 3 years ago
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    Thanks @SmoothMath :)

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