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From the top of a hill, the angles of de...

From the top of a hill, the angles of depression of two consecutive kilometre stones due east are found to be `30^0a n d45^0` . Find the height of the hill.

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From the top of the hill; the angle of depressions of two consecutive kilometre stones due east are found to be 30^(@) and 45^(@) Find the height of the hill.

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Knowledge Check

  • From the top of a cliff 50 m high, the angles of depression of the top and bottom of a tower are observed to be 30^(@) and 45^(@). The height of tower is

    A
    `50 m`
    B
    `50 sqrt3 m`
    C
    `50 (sqrt3 -1) m`
    D
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    A
    50 m
    B
    `50sqrt3`
    C
    `50(sqrt3-1)`
    D
    `50(1-sqrt3/3)`m
  • From the top of a cliff 50m high, the angles of depression of the top and bottom of a tower are observed to be 30^@ and 45^@ The height of tower is

    A
    50 m
    B
    `50sqrt3`
    C
    `50(sqrt3-1)`
    D
    `50(1-sqrt3/3)`m
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    From the top of a building 60m high the angles of depression of the top and the bottom of a tower are observed to be 30o and 60o. Find the height of the tower.

    From an aeroplane vertically over a straight horizontal road, the angles of depression of two consecutive kilometre-stones on the opposite sides of the aeroplane are observed to be alpha and beta. The height of the aeroplane above the road is

    From the top of a cliff, 200m high, the angle of depression of the top and bottom of a tower are observed to be 30^(@) and 60^(@) , find the height of the tower.

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    From an aeroplane just over a straight road, the angles of depression of two consecutive kilometre is stones situated at opposite sides of the aeroplane were found to be 60^@ and 30^@ respectively. The height (in km) of the aerophlane from the road at that instant was (Given sqrt(3)= 1.732 )