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Homework Help: Trigonometric function of x

  1. Mar 24, 2010 #1
    The angle of elevation from the top of a house to a jet flying 2 miles above the house is x radians. If d represents the horizontal distance, in miles, of the jet from the house, express d in terms of a trigonometric function of x. The graph the function for 0< x <pi.
     
  2. jcsd
  3. Mar 24, 2010 #2

    Dick

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    Did you draw a right triangle involving x, d and 2 miles? That's a good place to start.
     
  4. Mar 25, 2010 #3
    yes I did, now what?
     
  5. Mar 25, 2010 #4

    LCKurtz

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    From your triangle with d, x, and 2 labeled can you think of a trig function that involves them?
     
  6. Mar 25, 2010 #5
    no, thats why I am asking...
     
  7. Mar 25, 2010 #6
    ok, this is what I need to figure out. tan x=opp/adj = ?/?
     
  8. Mar 25, 2010 #7

    Dick

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    Very much so. Skip the last = ?/?. Just substitute the values for opp and adj.
     
  9. Mar 25, 2010 #8
    well if I knew what they were I could..lol
     
  10. Mar 25, 2010 #9
    maybe this graph will help..
     

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  11. Mar 25, 2010 #10

    Dick

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    I'm starting to feel helpless here. You drew the picture, right? It should be right in front of you. Which is the adjacent side and which is the opposite side to the angle x?
     
  12. Mar 25, 2010 #11

    Dick

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    How can you not know with such a gorgeous picture to help? Which leg is opposite the angle x and which is adjacent?
     
  13. Mar 25, 2010 #12
    the 2 mile side would be the opposite and the other would be the adjacent side.
     
  14. Mar 25, 2010 #13
    I have never done this before, so that is why I am lost...No I didnt draw the picture. It is supposed to help me.
     
  15. Mar 25, 2010 #14

    Dick

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    Yes, so tan(x)=... just fill it in.
     
  16. Mar 25, 2010 #15
    tan(x)=2/? Grrrrrr
     
  17. Mar 25, 2010 #16

    Dick

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    No offense, but this is getting to be like pulling teeth. The 'other' i.e. the 'adjacent side' is clearly labelled in your picture. It has a letter on it.
     
  18. Mar 25, 2010 #17
    tax(x)=2/d
     
  19. Mar 25, 2010 #18
    I do understand your frustration with me, just think how I feel.. :(
     
  20. Mar 25, 2010 #19
    I was wondering why do I need to forget the ?/?....
     
  21. Mar 25, 2010 #20

    Dick

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    I just meant you should fill in the ??'s. tan(x)=2/d is exactly what you want. You are basically done. Now just solve for d.
     
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