JEE PYQ: Heights And Distances Question 11
Question 11 - 2019 (09 Apr Shift 2)
Two poles standing on a horizontal ground are of heights 5m and 10m respectively. The line joining their tops makes an angle of $15°$ with the ground. Then the distance (in m) between the poles, is:
(1) $5(2+\sqrt{3})$ (2) $5(\sqrt{3}+1)$ (3) $\frac{5}{2}(2+\sqrt{3})$ (4) $10(\sqrt{3}-1)$
Show Answer
Answer: (1) $5(2+\sqrt{3})$
Solution
$d = \frac{5}{\tan 15°} = 5(2+\sqrt{3})$.
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