At the foot of a mountain the elevation of its summit is 45° . After ascending 1000m

towards the mountain up a slope of 30° inclination, the elevation is found to be
60° . Find the height of the mountain.

Let point A be the position of summit of the mountain and B being its foot.

Let C be the original position of observer and D, the final position after ascending 1000 metres.

Let DN and DM be perpendiculars to BC and AB respectively. 



Hence, height of the mountain is 1.366 km.

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