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4 June, 07:10

On a large lake without waves, how far from shore is a sailboat when the top of its 7-m mast disappears from the view of a person whose eye height is 1.7 m above the water's edge? Express your answer to three significant figures and include appropriate units.

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  1. 4 June, 07:45
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    D = 15.202 km

    Explanation:

    Given:

    - The height of the sail-boat mast below wave h_1 = 7 m

    - The level of eyesight above water's edge h_2 = 1.7 m

    Find:

    how far from shore is a sailboat

    Solution:

    - The distance from shore (person) to sailboat for a lake with waves is given by the following expression:

    D = sqrt (h_1 / 0.0675) + sqrt (h_2 / 0.0675)

    Where, D is the curved distance along earth's surface:

    - Plug in values and evaluate:

    D = sqrt (7 / 0.0675) + sqrt (1.7 / 0.0675)

    D = 10.18350 + 5.01848

    D = 15.202 km
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