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8 July, 00:42

The top of a lighthouse is 100 m above sea level. The angle of elevation from the

deck of the sailboat to the top of the lighthouse is 28°. Calculate the distance

between the sailboat and the lighthouse.

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Answers (1)
  1. 8 July, 04:26
    0
    188 m

    Step-by-step explanation:

    The tangent of the angle is the ratio of the side opposite (height of the lighthouse) to the side adjacent (distance to the lighthouse):

    tan (28°) = (100 m) / distance

    distance = (100 m) / tan (28°) ≈ 188 m

    The distance between the sailboat and the lighthouse is about 188 m.
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