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With reference to the given figure, a man stands on the ground at point A, Which is on the same horizontal plane as B, the foot of the vertical pole BC. The height of the pole is 10 m . The man's eye is 2 m above the ground. He observes the angle of elevation of C, the top of the pole, as `x^(@)` , where tan `x^(@) = (2)/(5)` . Calculate :

the distance AB in metres ,

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The correct Answer is:
20 m
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With reference to the given figure, a man stands on the ground at point A, Which is on the same horizontal plane as B, the foot of the vertical pole BC. The height of the pole is 10 m . The man's eye is 2 m above the ground. He observes the angle of elevation of C, the top of the pole, as x^(@) , where tan x^(@) = (2)/(5) . Calculate : angle of elevation of the top of the pole when he is standing 15 metres from the pole. Give your answer to the nearest degree.

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ICSE-HEIGHTS AND DISTANCES -Exercise 22 C
  1. At a point on level ground, the angle of elevation of a vertical to...

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  2. A vertical tower stands on a horizontal plane and is surmounted by a v...

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  3. With reference to the given figure, a man stands on the ground at poin...

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  4. With reference to the given figure, a man stands on the ground at poin...

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  5. The angles of elevation of the top of a tower from two points at a dis...

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  6. From a window A , 10 m above the ground the angle of elevation of the...

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  7. A vertical tower is 20 m high. A man standing at some distance from th...

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  8. A man standing on the bank of a river observes that the angle of elev...

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  9. A man standing on the bank of a river observes that the angle of elev...

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  10. A 20 m high vertical pole and a vertical tower are on the same level g...

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  11. A 20 m high vertical pole and a vertical tower are on the same level g...

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  12. A vertical pole and a vertical tower are on the same level ground in ...

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  13. A vertical pole and a vertical tower are on the same level ground in ...

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  14. From a point 36 m above the surface of a lake , the angle of elevatio...

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  15. A man observes the angle of elevation of the top of a building to be 3...

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  16. As observed from the top of a 80 m tall lighthouse, the angle of dep...

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  17. In the given figure, A from the top of a building AB = 60 m high, the ...

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  18. In the figure given, from the top of a building AB = 60 m high, the an...

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  19. An aeroplane at an altitude of 250 m observes the angle of depression ...

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  20. The horizontal distance between two tower is 120 m. The angle of eleva...

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