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Math Help - Distance Between Ships

  1. #1
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    Distance Between Ships

    An observer in a lighthouse 350 feet above sea level observes two ships directly offshore. The angles of depression to the ships are 4 degrees and 6.5 degrees. How far apart are the two ships?
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  2. #2
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    Re :

    Quote Originally Posted by magentarita View Post
    An observer in a lighthouse 350 feet above sea level observes two ships directly offshore. The angles of depression to the ships are 4 degrees and 6.5 degrees. How far apart are the two ships?

    Try applying trigo , draw 2 triangle diagrams . Then you should be able to find the horizontal distances of both ships from the lighthouse .
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  3. #3
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    what.....

    Quote Originally Posted by mathaddict View Post
    Try applying trigo , draw 2 triangle diagrams . Then you should be able to find the horizontal distances of both ships from the lighthouse .
    Can you set up the equation(s) for this one?

    I'll be able to take it form there.

    Also, provide the steps.
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  4. #4
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    Re :

    Quote Originally Posted by magentarita View Post
    Can you set up the equation(s) for this one?

    I'll be able to take it form there.

    Also, provide the steps.
    There are two ships , let them be ship A and ship B.

    Let X be the distance of ship A from the light house .

    tan 4 =350 / X

    Let Y be the distance of ship B from the light house

    tan 83.5 = y/350

    I got 83.5 from 90-6.5

    x-y = answer

    I assume 'directly offshore' as both ships are offshore in the same path or if i intepreted the question wrongly , the above working would not be valid . .
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  5. #5
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    ok...

    Quote Originally Posted by mathaddict View Post
    There are two ships , let them be ship A and ship B.

    Let X be the distance of ship A from the light house .

    tan 4 =350 / X

    Let Y be the distance of ship B from the light house

    tan 83.5 = y/350

    I got 83.5 from 90-6.5

    x-y = answer

    I assume 'directly offshore' as both ships are offshore in the same path or if i intepreted the question wrongly , the above working would not be valid . .
    I can take it from here.
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