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20 February, 09:28

From the top of a rock ledge 291 m high, the angle of depression to a boat is 9 degres. If the boat is d m from the foot of the cliff find d correct to 2 decimal places.

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  1. 20 February, 09:45
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    1837.30 m

    Step-by-step explanation:

    The tangent of the angle of depression is the ratio of cliff height to d:

    tan (9°) = (291 m) / d

    Multiplying by d/tan (9°), we find ...

    d = (291 m) / tan (9°) ≈ 1837.3017 m

    d ≈ 1837.30 m
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