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A man is watching from the top of a tower a boat speeding away from the tower. The boat makes an angle of depression of `45o` with the mans eye when at a distance of 60 metres from the tower. After 5 seconds, the angle of depression becomes `30o` . What is the approximate speed of the boat, assuming that it is running in still water? (a) 32 kmph (b) 36 kmph (c) 38 kmph (d) 40 kmph (d) 42 kmph

A

32kmph

B

36 kmph

C

38 kmph

D

40 kmph

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-HEIGHTS AND DISTANCES -MULTIPLE CHOICE QUESTIONS
  1. A man standing at a point P is watching the top of a tower, whic...

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  2. The angle of elevation of the top of a tower from a certain point i...

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  3. A man is watching from the top of a tower a boat speeding away from...

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  4. On the same side of a tower, two objects are located. When observed...

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  5. A man on the top of a vertical tower observes a car moving at a unifor...

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  6. The top of a 15 metre high tower makes an angle of elevation of 60o...

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  7. The angle of elevation of the top of an incomplete vertical pillar at ...

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  8. If a flag-staff of 6 m height placed on the top of a tower throws a sh...

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  9. A tree is broken by wind, its upper part touches the ground at a point...

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  10. A man standing on the bank of a river observes that the angle subte...

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  11. From the top of a lighthouse, 100 m high, the angle of depression of ...

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  12. If the height of a pole is 2sqrt(3) metres and the length of its sh...

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  13. A 30 metres long ladder is placed against a wall 15 m high such that i...

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  14. If the angles of elevation of the top of a tower from two points dista...

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  15. Length of the shadow of a person is x when the angle of elevation of t...

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  16. From the top of the cliff 150 m high, the angles of depression of the ...

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  17. The upper part of a tree, broken by the wind makes an angle of 60° wit...

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  18. A man on the top of a tower, standing on the seashore, finds that a...

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  19. A tower subtends an angle alpha at a point A in the plane of its base ...

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  20. A flag staff of 5m high stands on a building of 25m high. At an obse...

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