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Math Help - Tan

  1. #1
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    Tan

    A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed the angle of depression to the boat is 1833'. When the boat stops, the angle of depression is 5133'. The lighthouse is 200 feet tall. How far did the boat travel from when it was first noticed until it stopped? Round your answer to the hundredths place.

    Is the answer -706.44 ft?
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  2. #2
    Senior Member MaxJasper's Avatar
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    Re: Tan

    Let me know if 596.01' - 158.8' = 437.21' is correct.
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  3. #3
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    Re: Tan

    Yes it is.
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  4. #4
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    Re: Tan

    So the answer is 437.21?
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  5. #5
    Senior Member MaxJasper's Avatar
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    Lightbulb Re: Tan

    \frac{200}{\tan \left(18\text{  }33'\right)}-\frac{200}{\tan \left(51\text{  }33'\right)}
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  6. #6
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    Re: Tan

    so I divide 200 by tan(18+33/60)-tan(51+33/60)

    Is that right?
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  7. #7
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    Re: Tan

    So the answer is -706.44 ft?
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  8. #8
    Senior Member MaxJasper's Avatar
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