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Gadisar Lake is located in the Jaisalmer...

Gadisar Lake is located in the Jaisalmer district of Rajasthan . It was built by the king of Jaisalmer and rebuilt by Gadsi Singh in `14^(th)` century . The lake has many Chhatris. One of them is shown below :

Observe the picture, from a point A h m above from water level, the angle of elevation of top of top of Chhatri (point B) is `45^@` and angle of depression of its reflection in water (point C) is `60^@` . If the height of Chhatri above water level is (approximately) 10 m , then
find the height (h) of the point A above water level. (Use `sqrt(3) = 1.73)`

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