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From a window A , 10 m above the ground the angle of elevation of the top C of a tower is `x^(@)` , where tan `x^(@) = (5)/(2)` and the angle of depression of the foot D of the tower is `y^(@)` of the where tan `y^(@) = (1)/(4)` . (See the given figure) .Calculate the height CD of the tower is metres .

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The correct Answer is:
110 m
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ICSE-HEIGHTS AND DISTANCES -Exercise 22 C
  1. A vertical tower stands on a horizontal plane and is surmounted by a v...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. The angles of depression of two ships a A and B as observed from the t...

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