Height and Distance - JEE Main Previous Year Question with Solutions

JEE Main Previous Year Question of Math with Solutions are available at eSaral. Practicing JEE Main Previous Year Papers Questions of mathematics will help the JEE aspirants in realizing the question pattern as well as help in analyzing weak & strong areas. eSaral helps the students in clearing and understanding each topic in a better way. eSaral is providing complete chapter-wise notes of Class 11th and 12th both for all subjects. Besides this, eSaral also offers NCERT Solutions, Previous year questions for JEE Main and Advance, Practice questions, Test Series for JEE Main, JEE Advanced and NEET, Important questions of Physics, Chemistry, Math, and Biology and many more. Download eSaral app for free study material and video tutorials. [esquestion] $\mathrm{ABCD}$ is a trapezium such that $\mathrm{AB}$ and $\mathrm{CD}$ are parallel and $\mathrm{BC} \perp \mathrm{CD} .$ If $\angle \mathrm{ADB}=\theta, \mathrm{BC}=$ $\mathrm{p}$ and $\mathrm{CD}=\mathrm{q},$ then $\mathrm{AB}$ is equal to (1) $\frac{\left(p^{2}+q^{2}\right) \sin \theta}{p \cos \theta+q \sin \theta}$ (2) $\frac{p^{2}+q^{2} \cos \theta}{p \cos \theta+q \sin \theta}$ (3) $\frac{p^{2}+q^{2}}{p^{2} \cos \theta+q^{2} \sin \theta}$ (4) $\frac{\left(p^{2}+q^{2}\right) \sin \theta}{(p \cos \theta+q \sin \theta)^{2}}$ #tag# [JEE-MAINS-2013] #sol# (1) [/esquestion] [esquestion] If the angles of elevation of the top of a tower from three collinear points A, B and C, on a line leading to the foot of the tower, are $30^{\circ}, 45^{\circ}$ and $60^{\circ}$ respectively, then the ratio, AB : BC, is: (1) $1: \sqrt{3}$ (2) 2 : 3 (3) $\sqrt{3}: 1$ (4) $\sqrt{3}: \sqrt{2}$ #tag# [JEE(Main)-2015] #sol# (3) [/esquestion] [esquestion] A man is walking towards a vertical pillar in a straight path, at a uniform speed. Then the time taken (in minutes) by him, form B to reach the pillar, is : (1) 5         (2) 6          (3) 10           (4) 20 #tag# [JEE(Main)-2016] #sol# (1) [/esquestion] [esquestion] Let a vertical tower AB have its end A on the level ground. Let C be the mid-point tanis equal to :- (1) $\frac{4}{9}$ (2) $\frac{6}{7}$ (3) $\frac{1}{4}$ (4) $\frac{2}{9}$ #tag# [JEE(Main)-2017] #sol# (4) [/esquestion] [esquestion] PQR is a triangular park with $\mathrm{PQ}=200 \mathrm{m}$. A T.V. tower stands at the mid-point of $\mathrm{QR} .$ If the angles of elevation of the top of the tower at $\mathrm{P}, \mathrm{Q}$ and $\mathrm{R}$ are respectively $45^{\circ},$ $\left.30^{\circ} \text { and } 30^{\circ}, \text { then the height of the tower (in } \mathrm{m}\right)$ is- (1) 50 (2) $100 \sqrt{3}$ (3) $50 \sqrt{2}$ (4) 100 #tag# [JEE(Main)-2018] #sol# (4) [/esquestion]

Height & Distance is part of a larger collection, so students can explore the JEE Mains PYQ chapter wise index to move between chapters easily.

These problems are really ratio applications in disguise — revise from the trigonometry formula page before attempting them.

Curious how often Height & Distance gets tested? Browse our JEE Main PYQ archive and count the questions yourself, session by session.