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From the top of a rock 50sqr(3) m high, ...

From the top of a rock `50sqr(3)` m high, the angle of depression of car on the ground is observed to be `30^(@)`. Find the distance of the car from the rock.

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The correct Answer is:
150 m
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From the top of a rock 50 sqrt3m high, the angle of depression of a car on the ground is observed to be 30^(@) . Find the distance of the car from the rock.

A player sitting on the top of a tower of height 20 m observes the angle of depression of a ball lying on the ground as 60^(@) . Find the distance between the foot of the tower and the ball (sqrt3= 1.732)

Knowledge Check

  • The angle of depression of a boast from 50sqrt(3) high bridge is 30^(@) . The horizontal distance of the boat from the bridge is ___.

    A
    150 m
    B
    `150sqrt(3)` m
    C
    `60 m`
    D
    `60sqrt(3)` m

  • From the top of a tower the angle of depression of a point on the ground is 60^@ if the distance of this point to tower is (1)/( sqrt(3) +1) metres , then the height of the tower is

    A
    ` (4sqrt(3))/(2)` metres
    B
    `(sqrt(3)+3)/(2) ` metres
    C
    `(3 -sqrt(3))/(2) ` metres
    D
    `(sqrt(3))/(2)` metres

    • Similar Questions

    Explore conceptually related problems

    From the top of a tower 50 m high, the angles of depression of the top and bottom of a tree are observed to be 30^(@) and 45^(@) respectively. Find the height of the tree. (sqrt3= 1.732)

    From the top of a lighhouse, the angles of depression of two ships on the opposite sides of it are observed to be 30^(@) and 60^(@) . If the height of the lighthouse is h meters and thhe line joining the ships passes through the foot of the lighthouse. show that the distance between the ships is (4h)/(sqrt(3)) m.

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    An observer on the top of a tree ,finds the angle of depression of a car moving towards the tree to be 30^@ .After 3 minutes this angle becomes 60 ^@ .After how much more time , the car will reach the tree ?

    From te top of a tower , 60 meters high, the angles of depression of the top and bottom of a pole are alpha and beta respectively .Find the height of the pole.

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