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A man in a boat rowed away from a cliff ...

A man in a boat rowed away from a cliff 150 m high takes 2 min, to change the angle from `60^(@)` to `45^(@)`. The speed of the boat is

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The correct Answer is:
`(150(cot45^(@)-cot60^(@)))/(2)`
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A man in a boat rowing away from a light house 100 m high takes 2 minutes to change the angle of elevation of the top of the light house from 60° to 30°. Find the speed of the boat in meters per minute. [Use sqrt(3) = 1.732 )

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A man is moving away from a 40-m high tower at a speed of 2 m/s. Find the rate at which the angle of elevation of the top of the tower is changing when he is at a distance of 30 metres from the foot of the tower. Assume that the eye level of the man is 1.6 m from the ground.

From the top of a lighthouse 70 m high with its base at sea level, the angle of depression of a boat is 15^(@) . The distance of the boat from the foot of the lighthouse is :

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ML KHANNA-HEIGHTS AND DISTANCES-Problem Set (1) FILL IN THE BLANKS
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  2. The angle of elevation of the top of a pillar at any point A on the gr...

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  3. The angle of elevation of a tower from a point on the same level as th...

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  4. The angle of elevation of the top of a tower at a point A on the groun...

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  5. The height f a chimney when it is found that on walking towards it 100...

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  6. The shadow of a tower standing on a level ground is found to be 60 met...

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  7. A man in a boat rowed away from a cliff 150 m high takes 2 min, to cha...

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  8. An aeroplane flying horizontally , 1km above the ground , is observed...

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  9. The angle of elevation of the top and bottom of a flag staff fixed at ...

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  10. From the top of a cliff 200 ft. high, the angles of depression of the ...

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  11. A balloon moving in a straight line passes vertically above two points...

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  12. A balloon moving in a straight line passes vertically above two points...

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  13. A vertical pole (more than 100 ft. high) consists of two portions the ...

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  14. The angles of elevation of the top of a tower standing on a horizontal...

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  15. A tower of x metres height has flag staff at its top. The tower and th...

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  16. A wireless pole 25 metres high is fixed on a top of a verandah of a ho...

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  17. A round balloon of radius 'r' subtends an angle alpha at the eye of th...

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  18. A stationary balloon is observed from three points A, B and C on the p...

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  19. From the top of a pole of height h, the angle of elevation of the top ...

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

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