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The angles of depresion of two ships from the top of a lighthouse are `45^(@)` and `30^(@)` towards east. If the ships are 100 m apart, find the height of the lighthouse.

Text Solution

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The correct Answer is:
136.6m(approximately)
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The angles of depression of two ships from the top of a light house are 45^(@) and 30^(@) towards east. If the ships are 200 m apart, find the height of light house.

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Knowledge Check

  • The angles of depression from the top of a light house of two boats are 45^@ and 30^@ towards the west. If the two boats are 5m apart, then the heighat of the light house is

    A
    (2.5V3 -1)m
    B
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    D
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    `60sqrt(3)`
    B
    `30(sqrt(3)+1)`
    C
    `30(sqrt(3)-1)`
    D
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    B
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    D
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    The angles of depression of two ships from the top of a light house are 60^@ and 45^@ towards east. If the ships are 300 m apart, the height of the light house is किसी प्रकाश स्तंभ के शीर्ष भाग से दो पत्तो के अवनमन कोण पूर्व की ओर 60^@ और 45^@ है। यदि पोत परस्पर 300 मीटर की दूरी पर हो, तो प्रकाश स्तंभ को ऊँचाई बताइए?

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