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The lower window of a house is at a heig...

The lower window of a house is at a height of 2 m above the ground and its upper window is 4 m above the lower window. At certain instant, the angles of elevation of a balloon from these windows are observed to be `60^(@) and 30^(@)` , respectively. Find the height of the balloon from the ground.

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The lower window of a house is at a height of 2m above the ground and its upper window is 4m vertically above the tower window. At certain instant the angles of elevation of a balloon from these windows are observed to be 60^(@) and 30^(@) , respectively. Find the height of the balloon above the ground.

Suppose,there are two windows in a house.A window of the house is at a height of 1.5 m above the ground and the other window is 3 m vertically above the lower window.Anil and Sanjeev are sitting inside the two windows,At an instant the angles of elevation of two balloon from these windows are observed at 45^@ and 30^@,respectively. 1. Find the height of the balloon from the ground. 2. Among sanjeev and anil,who is more closer to the balloon. 3. If balloon is moving towards the building, then will both the angle of elevation remain same?

Knowledge Check

  • If the angle of elevation of a baloon from two consecutive kilometre -stones along a road are 30^(@)and60^(@) respectively , then the height of the balloon above the ground will be

    A
    `(sqrt(3))/(3)` km
    B
    `(1)/(2)` km
    C
    `(2)/(sqrt(3))` km
    D
    `3sqrt(3)`km

  • If the angles of elevation of a ballon from the two consecultive kilometre stones along a road are 30^@ and 60^@ respectively, then the height of the balloon above the ground will be

    A
    `(sqrt(3))/(2)` km
    B
    `1/2` km
    C
    `(2)/(sqrt(3))` km
    D
    `3 sqrt(3)` km

  • An aeroplane flying at a height of 300 m above the ground passes vertically above another plane at an instant when the angles of elevation of two planes from the same point on the ground are 60^(@) and 45^(@), respectively. What is the height of the lower plane from the ground?

    A
    50 m
    B
    `(100)/(sqrt3) m `
    C
    `100 sqrt3 m `
    D
    ` 150 ( sqrt3 +1 ) m`

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