The angle of elevation of the summit of a mountain from a point on the ground is 45^{o}. After climbing up one km towards the summit at an inclination of 30^{o} from the ground, the angle of elevation of the summit is found to be 60^{o}. Then the height (in km) of the summit from the ground is :
Option: 1 \frac{\sqrt{3}-1}{\sqrt{3}+1}
Option: 2 \frac{\sqrt{3}+1}{\sqrt{3}-1}  
Option: 3 \frac{1}{\sqrt{3}-1}
Option: 4 \frac{1}{\sqrt{3}+1}

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