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Two men on either side of a temple of 30...

Two men on either side of a temple of 30 meter height observe its top at the angles of elevation `30^(@)" and "60^(@)` respectively. Find the distance between the two men.

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An observer flying in an aeroplane at an altitude of 900 m observes two ships in front of him, which are in the same direction at an angles of depression of 60^(@)" and "30^(@) respectively. Find the distance between the two ships.

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Knowledge Check

  • From the top of a building with height 30(sqrt(3)+1) m two cars make angle of depression of 45^(@)" and "30^(@) due east. What is the distance between two cars?

    A
    30m
    B
    60m
    C
    45m
    D
    75m

  • These are two towers on a horizontal line. From the mid point of the line joining their feet, the tops of the towers appear at angles of elevation of 60^@ and 30^@ respectively. The first tower has a height of 100 m. The height of the second tower is

    A
    `100/sqrt3 m`
    B
    `100/5 m`
    C
    `(sqrt2) 100m`
    D
    `100/3 m`

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    The angles of elevation of the top of a rock from the top and foot of a 100 mts high tower are respectivley 30^@ and 60^@ respectivley. Find the distance between the two points.

    A man on the top of a cliff 100 mts high, observes the angle of depression of the two points on opposite sides of the cliff as 30^@ and 60^@ respectively. Find the distance between the two points.

    An observe flying in an aeroplane at an altitude of 1500 m observes two ships in front of him. Which are in the same direction at an angles of depression of 60^@ and 30^@ respectively. Find the distance between two ships.

    Two poles of equal height are standing opposite to each other on either sidef of the road, which is 120 feet wide. From a point between then on the road, the angles of elevation of the top of the poles are 60^(@)" and "30^(@) respectively. Find the height of the poles and the distances of the point from the poles.

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