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An aeroplane, when 3000 m high, passes vertically above anthoer aeroplane at an instant when the angles of elevation of the two planes from the same point on the ground are `45^(@)" and "60^(@)` respectively. Find the vertical distance between the tow planes.

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The correct Answer is:
1268 m
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An aeroplane when flying at a height of 4000m from the ground passes vertically above another aeroplane at an instant when the angles of the elevation of the two planes from the same point on the ground are 60^@ and 45^@ respectively. Find the vertical distance between the aeroplanes at that instant.

An aeroplane when flying at a height of 4000m from the ground passes vertically above another aeroplane at an instant when the angles of the elevation of the two planes from the same point on the ground are 60^0&45^0 respectively. Find the vertical distance between the aeroplanes at that instant.

An aeroplane flying at a height 300 metre above the ground passes vertically above another plane at an instant when the angles of elevation of the two planes from the same point on the ground are 60^@ and 45^@ respectively. Then the height of the lower plane from the ground in metres is

A 7 m long flagstaff is fixed on the top of a tower on the horizontal plane. From a point on the ground, the angles of elevation of the top and bottom of the flagstaff are 45^(@)" and " 30^(@) respectively. Find the height of the tower.

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.

From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45^@ and 60^@ respectively. Find the height of the tower.

An aeroplane id flying at a height of 300 m above the ground. Fying at this height , theangles of depression from the aeroplane of two points on both banks of a river in opposite directions are 45^(@)" and "60^(@) respectively. Find the width of the river.[use sqrt3=1.732 ]

An aeroplane at an altitude of 1200 metres finds that two ships are sailing towards it in the same direction. The angles of depression of the ships as observed from the aeroplane are 60^o and 30^o respectively. Find the distance between the two ships.

Two points A and B are on the same side of a tower and in the same straight line with its base. The angles of depression of these points from the top of the tower are 60^(@)" and "45^(@) respectively. If the height of the tower is 15 m, then find the distance between these points.

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NAGEEN PRAKASHAN ENGLISH-SOME APPLICATIONS OF TRIGONOMETRY-Exercise
  1. From the top of a light house, the angles of depression of two ships o...

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  2. From the top of a light-hours, the angles of depression of two ships o...

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  3. An aeroplane, when 3000 m high, passes vertically above anthoer aeropl...

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  4. The angle of elevation of the top of am incomplete temple, at a point ...

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  5. The angle of elevation of the top of an incomplete tower, at a point 4...

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  6. On a straight line passing through the foot of a tower, two points C a...

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  7. The angle of elevation of the top of a tower from the foot of a house,...

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  8. There is a 7m high statue standing on a cliff. At a point P on the gro...

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  9. The distance between two towers is 140 m while seeing from the top if ...

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  10. A temple and a flagstaff surmounted at its top, each subtends equal an...

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  11. A 7 m long flagstaff is fixed on the top of a tower on the horizontal...

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  12. At one side of a road, there os a house and on the other side there is...

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  13. A tower subtends an angle of 60^(@) at a point on the plane passing th...

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  14. An aeroplane is flying over two houses which are at a distance of 300 ...

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  15. From the top of a 96 m tower, the angles of depression of two cars, on...

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  16. The angle of elevation of the top of a vertical tower, from a point in...

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  17. The upper part of a tree broken over by the wind makes an angle of 60^...

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  18. From a boat, which is moving towards a bridge, the angle of elevation ...

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  19. The angle of elevation of the top of a building from the foot of the ...

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  20. The angle of elevation of the top of a building from the foot of the t...

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