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Math Help - Trig Word Problem

  1. #1
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    Ornskoldsvik
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    Exclamation Trig Word Problem

    Hi, I need some help with this problem:

    "A tracking telescope, located 1.25 km from the point of a rocket launch, follows a vertically ascending rocket. Express the height h of the rocket as a function of the angle of elevation θ. Draw a diagram."

    I think I have the diagram portion of the problem, but I dont know what do to to solve the problem. I someone could help, can you please include the work, thanks. I have included a picture of MY diagram which I think might be correct.
    Attached Thumbnails Attached Thumbnails Trig Word Problem-math2.jpg  
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  2. #2
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    In the right angled triangle what is tanθ?
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  3. #3
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    Oh I should mention that T = where the telescope is, and r is where the rocket is
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  4. #4
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    tan  \theta = h/1.25
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  5. #5
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    Quote Originally Posted by OVechkin8 View Post
    tan  \theta = h/1.25
    Yes. That is correct.
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  6. #6
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    is that all I am supposed to look for?
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  7. #7
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    Quote Originally Posted by OVechkin8 View Post
    is that all I am supposed to look for?
    Express the height h of the rocket as a function of the angle of elevation θ. Draw a diagram."
    That is what the problem requires.
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  8. #8
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    I understand that, but I'm not sure of what exactly I am supposed to be looking for.
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  9. #9
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    Quote Originally Posted by OVechkin8 View Post
    I understand that, but I'm not sure of what exactly I am supposed to be looking for.
    h = 1.25*tanθ
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  10. #10
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    gotcha, i got it, thanks uncle-ji
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