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    angle of depression

    a weather satellite is traveling in a circular orbit 9800 miles above the surface of the earth. find the angle of depression from the satellite to the horizon. assume the radius of the earth is 4000 miles.



    i don't get how to find it. i tried finding the angle of angle 1 by using sin. did arcsin and got an angle of 16.85, subtracted it from 90 and got 73 degrees. i thought that was the angle of depression but the book says the answer is 15.5 degrees.
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    Quote Originally Posted by algebra2 View Post
    a weather satellite is traveling in a circular orbit 9800 miles above the surface of the earth. find the angle of depression from the satellite to the horizon. assume the radius of the earth is 4000 miles.



    i don't get how to find it. i tried finding the angle of angle 1 by using sin. did arcsin and got an angle of 16.85, subtracted it from 90 and got 73 degrees. i thought that was the angle of depression but the book says the answer is 15.5 degrees.
    that is the angle of depression. (not angle 2 in your diagram--where did that diagram come from).

    was a diagram given with the problem?
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    yeah, that is the diagram.

    angle 2 is the angle of depression. i used angle 1 to find angle 2 because i thought angle 1 + angle 2 = a right angle.

    so i thought i would find angle 1, then subtract it from 90 degrees to find angle 2 (angle of depression)
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    Quote Originally Posted by algebra2 View Post
    yeah, that is the diagram.

    angle 2 is the angle of depression. i used angle 1 to find angle 2 because i thought angle 1 + angle 2 = a right angle.

    so i thought i would find angle 1, then subtract it from 90 degrees to find angle 2 (angle of depression)
    you are right.

    though i would measure the angle of depression "above" angle one, as you see in this diagram


    but still, the answer is way-off from the one in the book. either this is a major typo, or that is not the diagram to use...
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    this is the book's solution
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    Quote Originally Posted by algebra2 View Post


    this is the book's solution
    yes, that is the angle i was talking about. the angle you mark as angle 2 in your diagram is not the angle of depression

    anyway, it is the hypotenuse of the triangle that is different from yours. i wonder where they got 4150 from? ...
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