Mathematics · 2018
JEE Main · 15 April 2018, Shift 2 · Q89
A tower T_1 of height 60 m is located exactly opposite to a tower T_2 of height 80 m on a straight road. From the top of T_1, if the angle of…
A tower $\displaystyle \mathrm{T}_1$ of height $\displaystyle 60$ m is located exactly opposite to a tower $\displaystyle \mathrm{T}_2$ of height $\displaystyle 80$ m on a straight road. From the top of $\displaystyle \mathrm{T}_1$, if the angle of depression of the foot of $\displaystyle \mathrm{T}_2$ is twice the angle of elevation of the top of $\displaystyle \mathrm{T}_2$, then the width (in m) of the road between the feet of the towers $\displaystyle \mathrm{T}_1$ and $\displaystyle \mathrm{T}_2$ is :
Official answer
(3)
$\displaystyle 20 \sqrt{3}$
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JEE Main 2018 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.