At the foot of a mountain, the angle of elevation of its summit is 450. After ascending 1 km towards the mountain up an incline of 300, the elevation changes to 600 (as shown in the given figure). Find the height of the mountain. [Given : ]


After ascending 1 km towards the mountain up an incline of 300, the elevation changes to 600


So, according to the figure given, AB = AF x sin300 = (1 x 0.5) = 0.5 Km.


At point A the elevation changes to 600.


In this figure, ABF ACS


Comparing these triangles, we get AB = AC = 0.5Km


Now, CS = AC x tan600 = (0.5 x 1.73) = 0.865Km


Therefore, the total height of the mountain is = CS + DC


= CS + BA


= (0.865 + 0.5) Km


= 1.365 Km


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