Home
Class 10
MATHS
A man standing on the deck of a ship, wh...

A man standing on the deck of a ship, which is 10m above water level. He observes the angle of elevation of the top of a hill as `60^0` and the angle of depression of the base of the hill as `30^0dot` Calculate the distance of the hill from the ship and the height of the hill.

Text Solution

Verified by Experts

The correct Answer is:
40 m
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • HEIGHT AND DISTANCE

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE ( VERY SHORT ANSWER QUESTIONS I)|12 Videos

  • HEIGHT AND DISTANCE

    VK GLOBAL PUBLICATION|Exercise PROFICIENCY EXERCISE ( SHORT ANSWER QUESTIONS I)|10 Videos

  • HEIGHT AND DISTANCE

    VK GLOBAL PUBLICATION|Exercise LONG ANSWER QUESTIONS|17 Videos

  • COORDINATE GEOMETRY

    VK GLOBAL PUBLICATION|Exercise SELF-ASSESSMENT TEST|10 Videos

  • INTRODUCTION TO TRIGONOMETRY

    VK GLOBAL PUBLICATION|Exercise SELF - ASSESSMENT TEST|9 Videos

Similar Questions

Explore conceptually related problems

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

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`

  • The angle of elevation of the top of a hill at the foot of a tower is 60^(@) and the angle of elevation of the top of the tower at the foot of the hill.is 30^(@) . If the tower is 50 m tall, then the height of the hill is

    A
    `100sqrt3m`
    B
    `50sqrt3m`
    C
    150m
    D
    `(150)/(sqrt3)m`

    • 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 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 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.

    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 )

    The angle of elevation of the top of a hill at the foot of a tower is 60o and the angle of elevation of the top of the tower from the foot of the hill is 30 .If the tower is 50m high, what is the height of the hill?

    Home
    Profile