Home
Class 10
MATHS
A man on the deck of a ship is 10m ab...

A man on the deck of a ship is 10m above the water level. He observes that the angle of elevation of the top of a cliff is `45o` and the angle of depression of the base is `30o` . Calculate the distance of the cliff from the ship and the height of the cliff.

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • REAL NUMBERS

    RD SHARMA|Exercise All Questions|180 Videos
  • STATISTICS

    RD SHARMA|Exercise All Questions|230 Videos

Similar Questions

Explore conceptually related problems

Aman on deck of a ship is 12 m above the water level. He observes that the angle of the elevation of the top of a cliff is 45^(@) and the angle of depression of its base is 30^(@) . Calculate the distance of the cliff from the ship and the height of the cliff.

A man on the deck of a ship 12 m above water level, observes that the angle of elevation of the top of a cliff is 60^(@) and the angle of depression of the base of the is 30^(@) . Find the distance of the cliff from the ship and the height of the cliff. [use sqrt(3)=1.732 )

Knowledge Check

  • From a point 12 m above the water level, the angle of elevation of the top of a hill is 60^(@) and the angle of depression of the base of the hill is 30^(@) . What is the height (in m)of the hill?

    A
    `36`
    B
    `48sqrt3`
    C
    `48`
    D
    `36sqrt3`
  • An observer ina boat finds the angle of elevation of a tower standing on the top of a cliff as 60^(@) and that of the top of cliff as 30^(@) . If the height of the twoer is 60 m then the height of the cliff is

    A
    `60sqrt(3)m`
    B
    `30m`
    C
    `20sqrt(3)m`
    D
    None of these
  • Similar Questions

    Explore conceptually related problems

    A man standing on the deck of a ship,which is 8m above water level.He observes the angle of elevation of the top of a hill as 60o and the angle of depression of the base of the hill as 30o. Calculate the distance of the hill from the ship and the height of the hill.

    A man standing on the deck of a ship,which is 10 m above water level.He observes the angle of elevation of the top of a hill as 60and the angle of depression of the base of the hill as 30^(@). Calculate the distance of the hill from the ship and the height of the hill.

    A man is standing on the deck of a ship, which is 8m above water level. He observes the angle of elevation of the top of a hill as 60^@ and the angle of depression of the base of the hill as 30^@ . Calculate the distance of the hill from the ship and the height of the hill

    A man standing on the deck of a ship,which is 10m above water level,observes the angle of elevation of the top of a hill as 60^(@) and the angle of depression the base of hill as 30^(@) . Find the distance of the hill from the ship and the height of the hill.

    A man on the deck of a ship, 16 m above water level, observes that the angles of elevation and depression repectively of the top and bottom of a cliff are 60^(@) and 30^(@) . Calculate the distance of the cliff from the and height of the cliff.

    From the top of a cliff 15mt height, the angle of elevation of the top of a tower is found to be equal to the angle of depression of the foot of the tower.The height of the tower is