JEE PYQ: Heights And Distances Question 9
Question 9 - 2020 (06 Sep Shift 2)
The angle of elevation of the summit of a mountain from a point on the ground is $45°$. After climbing up on 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:
(1) $\frac{\sqrt{3}-1}{\sqrt{3}+1}$ (2) $\frac{\sqrt{3}+1}{\sqrt{3}-1}$ (3) $\frac{1}{\sqrt{3}-1}$ (4) $\frac{1}{\sqrt{3}+1}$
Show Answer
Answer: (3) $\frac{1}{\sqrt{3}-1}$
Solution
Height $= \frac{\sqrt{3}+1}{2} = \frac{1}{\sqrt{3}-1}$ km.
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