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Two ships A and B are sailing straight a...

Two ships A and B are sailing straight away from the foot of a tower OP along routes such that `ul(|AOB)` is always `120^(@)`. At a certain instance, the angles of depression of the ships A and B from the top P of the towers are `60^(@) and 30^(@)` respectively. The distance between the ships when the height of the tower is 15m is

A

`5 sqrt(39)` m

B

`5 sqrt(30)` m

C

`5 sqrt(21)` m

D

`5 sqrt(3)` m

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • From the top of a building, the angle of elevation and depression of top and bottom of a tower are 60^(@) and 30^(@) respectively. If the height of the building is 5m, then find the height of the tower.

    A
    `10sqrt3`m
    B
    15 m
    C
    `15sqrt3`m
    D
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    A
    45 m
    B
    60 m
    C
    75 m
    D
    30 m

  • The angle of depression of a ship from the top of a 30 m hight tower is 60^(@) . The distance of ship from the base of the tower is

    A
    30m
    B
    `30sqrt(3)m`
    C
    `10sqrt(3)m`
    D
    10m

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