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Determine the height of a mountain if...

Determine the height of a mountain if the elevation of its top at an unknown distance from the base is `30o` and at a distance 10km further off from the mountain, along the same line, the angle of elevation is `15o` . (Use `tan15o=0. 27` )

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RD SHARMA-SOME APPLICATIONS OF TRIGONOMETRY-All Questions
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  2. At a point on level ground, the angle of elevation of a vertical to...

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  9. The angle of elevation of a cloud from a point 60 m above a lake i...

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  12. An aeroplane when flying at a height of 4000m from the ground passe...

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  13. A tower stands vertically on the ground. From a point on the ground...

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  14. The angle of elevation of a ladder leaning against a wall is 60o an...

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  15. A ladder is placed along a wall of a house such that its upper end ...

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  16. An electric pole is 10m high. A steel wire tied to top of the pole ...

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  17. A kite is flying at a height of 75 metres from the ground level, at...

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  18. A vertically straight tree, 15m high, is broken by the wind in such...

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  19. A person observed the angle of elevation of the top of a tower as 30...

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  20. The shadow of a tower, when the angle of elevation of the sun is 45...

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