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alinakanus Group Title

The figures indicate that the higher the orbit of a satellite, the more of the earth the satellite can "see." Let θ, s, and h be as in the figure, and assume the earth is a sphere of radius 3960 miles. (a) Express the angle θ as a function of h. (Remember to enter inverse trigonometric functions such as sin–1(x) as either asin(x) or arcsin(x).) θ (h) = (b) Express the distance s as a function of θ. (Remember to enter inverse trigonometric functions such as sin–1(x) as either asin(x) or arcsin(x).) s (θ) =

  • 2 years ago
  • 2 years ago

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  1. shivam_bhalla Group Title
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    figure please.

    • 2 years ago
  2. alinakanus Group Title
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    Let me get a screen shot, really quick.

    • 2 years ago
  3. alinakanus Group Title
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    • 2 years ago
  4. alinakanus Group Title
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    The radius of the earth is given, 3960 mi.

    • 2 years ago
  5. shivam_bhalla Group Title
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    r -->radius of earth.

    • 2 years ago
  6. alinakanus Group Title
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    Why did you square root the denominator?

    • 2 years ago
  7. shivam_bhalla Group Title
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    Again typo mistake :p The square root is not present

    • 2 years ago
  8. alinakanus Group Title
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    Ah, okay. That's actually what I got too, when I tried figuring it out now. Do you think you can help me with Part B?

    • 2 years ago
  9. shivam_bhalla Group Title
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    ok \[s = r \theta = r \cos^{-1} ({r \over r+h}) \]

    • 2 years ago
  10. shivam_bhalla Group Title
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    got it ??

    • 2 years ago
  11. alinakanus Group Title
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    That's for s as function of theta?

    • 2 years ago
  12. shivam_bhalla Group Title
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    \[s = r \theta\]

    • 2 years ago
  13. shivam_bhalla Group Title
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    Got this or I need to explain

    • 2 years ago
  14. alinakanus Group Title
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    Can you explain a little bit? I'm a little confused. Is that for part b?

    • 2 years ago
  15. shivam_bhalla Group Title
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    See I am little confused myself about s. I am assuming that they are taking s as arc length of a circle.

    • 2 years ago
  16. alinakanus Group Title
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    That's what I'm assuming too. But it's really confusing. I agree.

    • 2 years ago
  17. shivam_bhalla Group Title
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    Do you want me to show you how to get s = r (theta) or continue to part C??

    • 2 years ago
  18. alinakanus Group Title
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    Can you show me how s=r(theta), please? Thank you so much.

    • 2 years ago
  19. shivam_bhalla Group Title
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    See we know that circumference of circle = 2(pi)(r) If for 2(pi) angle ---> Arc length = 2(pi)(r) Then for (theta) angle --> Arc length = 2(pi) (r) / 2(pi) * (theta) Therefore Arc length = r * Theta

    • 2 years ago
  20. alinakanus Group Title
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    Oh, okay. I don't know why I couldn't get it in the first place. I was just overthinking it. Thanks! SO MUCH. Can we move on to Part C?

    • 2 years ago
  21. shivam_bhalla Group Title
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    Part C is already done by me. Go above in this thread and check.

    • 2 years ago
  22. alinakanus Group Title
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    Oh! Got it. Got it.

    • 2 years ago
  23. shivam_bhalla Group Title
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    Do you want me to do part d and part e or you will try by yourself??

    • 2 years ago
  24. alinakanus Group Title
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    I'll try by myself first. But can I check with you later to see if i'm correct?

    • 2 years ago
  25. shivam_bhalla Group Title
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    Let me give you a hint because it is 4 am here and I am going to sleep now Part d) Use s= function of h In this case , h is given. Find s Part e) s= function of h. In this case , s is given. Find h

    • 2 years ago
  26. alinakanus Group Title
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    Oh, okay. THANK YOU SO MUCH! You saved my life. Haha. Good night!

    • 2 years ago
  27. shivam_bhalla Group Title
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    Welcome :D

    • 2 years ago
  28. shivam_bhalla Group Title
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    If you are having any doubt, post it here and I will see it tomorrow. :)

    • 2 years ago
  29. alinakanus Group Title
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    OK. I'll post what I got from the solving. And you can help me see if I did it right (:

    • 2 years ago
  30. alinakanus Group Title
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    Thank you so much

    • 2 years ago
  31. shivam_bhalla Group Title
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    Welcome :)

    • 2 years ago
  32. alinakanus Group Title
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    Hey, when you get a chance, I computed for the answers. I got d) about 50,462.093 miles; and e) about 0.23 of a mile.

    • 2 years ago
  33. shivam_bhalla Group Title
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    @alinakanus , both the answers are right

    • 2 years ago
  34. shivam_bhalla Group Title
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    @alinakanus , both the answers are right

    • 2 years ago
  35. shivam_bhalla Group Title
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    @alinakanus , both the answers are right

    • 2 years ago
  36. alinakanus Group Title
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    Ah, great! Thank you so much, @shivam_bhalla ! You really helped me a lot!

    • 2 years ago
  37. alinakanus Group Title
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    I apologize for the late response. I was in class up until now.

    • 2 years ago
  38. shivam_bhalla Group Title
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    No problem. No need to apologise !

    • 2 years ago
  39. stan2244 Group Title
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    I still do not fully understand what the answers are after reading it over and over? Starting with A what exactly is the answer?

    • one year ago
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