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.

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Q. $\mathrm{ABCD}$ 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) $\frac{\left(p^{2}+q^{2}\right) \sin \theta}{(p \cos \theta+q \sin \theta)^{2}}$

[JEE-MAINS-2013]

Sol. (1)


Q. 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) $\sqrt{3}: \sqrt{2}$

[JEE(Main)-2015]

Sol. (3)


Q. 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

[JEE(Main)-2016]

Sol. (1)


Q. 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) $\frac{2}{9}$

[JEE(Main)-2017]

Sol. (4)


Q. 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

[JEE(Main)-2018]

Sol. (4)


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Comments
  • June 3, 2020 at 12:58 pm

    sir this esaral is providing a very gud set of questions…
    but its need to update a little, we the students are ariving 2020 jee and for that we need latest jee online questions.
    these questions are just incomplete

  • June 3, 2020 at 12:56 pm

    sir this esaral is providing a very gud set of questions…
    but its need to update a little, we the students are ariving 2020 jee and for that we need latest jee online questions.

  • May 20, 2020 at 7:58 pm

    Chill bro

  • April 9, 2020 at 8:30 pm

    Nice but try to update
    Now 2020 but questions are up to 2018