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The angle of depression from the top of a lighthouse to a boat in the water is 30°. If the lighthouse is 89 feet tall how far is the boat from the lighthouse to the nearest foot?

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45 feet Eliminate Reactivate
51 feet Eliminate Reactivate
63 feet Eliminate Reactivate
154 feet Eliminate Reactivate

  • geometry -

    tan 30° = 89/x
    x = 89/tan30°
    = ...

    I have no idea what the rest of your post means, or how it ties in with your question.
    D does contain the number 154 ft, which is the correct answer.

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