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