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    Question

    Two ships are opposite a lighthouse such that all three

    of them are collie Zār. The angles of depression of the two ships from the top of the light house 30º and 60º. If the ships are   230 √ 3m apart, then find the height of the light house (in m).
    A 154.6m Correct Answer Incorrect Answer
    B 142.4m Correct Answer Incorrect Answer
    C 172.5m Correct Answer Incorrect Answer
    D 162.8m Correct Answer Incorrect Answer

    Solution

    As we know AD/DB=3/1 Then- 4=230√3 DB=1=230√3 /4 Now – Tan 60° =CD/DB √3 =CD /DB CD=√3 ×DB =√3×230√3/4 230×3/4=690/4 =172.5m

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