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Math Help - What is meant by this?

  1. #1
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    What is meant by this?

    I am having trouble understanding this problem.
    It has to deal with either cosine or sine law.

    The angle of depression of a fire noticed west of a fire tower is 6.2 degrees. The angle of depression of a pond, also west of the tower, is 13.5 degrees.
    If the fire and pond are the same altitude, and the tower is 2.25 km from the pond on a direct line, how far is the fire from the pond?

    So do I take the fire and pond are level together on the ground, on a horizontal plane from the angles noted above??

    Not sure how to solve this, and do I have enough info??
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  2. #2
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    Quote Originally Posted by bradycat View Post
    I am having trouble understanding this problem.
    It has to deal with either cosine or sine law.

    The angle of depression of a fire noticed west of a fire tower is 6.2 degrees. The angle of depression of a pond, also west of the tower, is 13.5 degrees.
    If the fire and pond are the same altitude, and the tower is 2.25 km from the pond on a direct line, how far is the fire from the pond?

    So do I take the fire and pond are level together on the ground, on a horizontal plane from the angles noted above??

    Not sure how to solve this, and do I have enough info??
    1. Draw a rough sketch.

    2. You are dealing with 2 right triangles with the height of the tower as the common leg.

    3. Calculate the height of the tower (use the tan-function)

    4. Calculate the distance fire-tower and then the distance I labeled "x".

    5. For confirmation only: I've got x \approx 2.722\ km
    Attached Thumbnails Attached Thumbnails What is meant by this?-firepondtower.png  
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  3. #3
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    Thanks for the help. I can figure it out from how you drew it. I was totally wrong on my sketch!! ))))
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