JEE Math Practice Question
The angle of elevation of the summit of a mountain from a point on the ground is 45°. After climbing up one km towards the summit at an inclination of 30° from the ground, the angle of elevation of the summit is found to be 60°. Then the height (in km) of the summit from the ground is :
- A.$${1 \over {\sqrt 3 - 1}}$$
- B.$${{\sqrt 3 + 1} \over {\sqrt 3 - 1}}$$
- C.$${1 \over {\sqrt 3 + 1}}$$
- D.$${{\sqrt 3 - 1} \over {\sqrt 3 + 1}}$$
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