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From the top of a light-hours, the angle...

From the top of a light-hours, the angles of depression of two ships on the opposite sides are observed to be `30^(@)" and "45^(@)`. If the height of the light-house, is 90 m and the line joining the two ships passes through the light- house, then find the distance between the ships.

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The correct Answer is:
245.88 m
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NAGEEN PRAKASHAN-SOME APPLICATIONS OF TRIGONOMETRY-Exercise
  1. There are two points on the horizontal line passing through the foot o...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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