JEE Main 2021 (4 Aug, Shift 1) Maths Q79: Ten vertical…

Question

Ten vertical poles of different height standing at equal distances on a straight line, subtend the same angle

30^{\mathrm{o}}

at a point O on the line. If the height of the tallest pole is 12 units and the distance of the foot of the shortest pole from O is 1 unit, then the distance between two consecutive poles is

(1) $\frac{12\sqrt{3}-1}{9}$ Official answer
(2) $\frac{4\sqrt{3}-1}{9}$
(3) $\frac{12\sqrt{3}-1}{3\sqrt{3}}$
(4) $\frac{12\sqrt{3}+1}{9}$

Official answer

Option 1

NTA final key.

Accepted Answer

Option 1: $\frac{12\sqrt{3}-1}{9}$

Answer

$\frac{12\sqrt{3}-1}{9}$

Answer

$\frac{4\sqrt{3}-1}{9}$

Answer

$\frac{12\sqrt{3}-1}{3\sqrt{3}}$

Answer

$\frac{12\sqrt{3}+1}{9}$

JEE Main 4 August 2021, Shift 1, Maths Q79