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Previous year question hub

Height And Distance - Trigonometry - Mathematics Previous Year Questions

Practice Height And Distance - Trigonometry - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

40Papers
14Years
41Questions
1Topics

Height And Distance question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Height And Distance. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 29 70.7%
Easy 10 24.4%
Hard 2 4.9%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 39 95.1%
Numerical Answer Type (NAT) 2 4.9%

Subject weightage

Top subjects by unique question coverage.

Mathematics
41 Qs

Most asked topics

Top topics across the included previous year papers.

Trigonometry
41 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Height And Distance
41 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

JEE MAIN 2023 ONLINE 11TH APRIL EVENING SHIFT
1 Qs
JEE MAIN 2023 ONLINE 6TH APRIL MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 25TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 27TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 27TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 28TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 28TH JUNE MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 29TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2022 ONLINE 29TH JUNE EVENING SHIFT
1 Qs
JEE Main 2021 (Online) 24th February Evening Shift
1 Qs
JEE Main 2021 (Online) 24th February Morning Shift
1 Qs
JEE Main 2021 (Online) 25th February Morning Shift
1 Qs
JEE MAIN 2021 ONLINE 18TH MARCH EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 20TH JULY EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 25TH JULY MORNING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 26TH AUGUST EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 27TH AUGUST EVENING SHIFT
1 Qs
JEE MAIN 2021 ONLINE 31ST AUGUST MORNING SHIFT
1 Qs
JEE MAIN 2020 ONLINE 6TH SEPTEMBER MORNING SLOT
2 Qs
JEE MAIN 2020 ONLINE 4TH SEPTEMBER EVENING SLOT
1 Qs
JEE MAIN 2020 ONLINE 6TH SEPTEMBER EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 10TH JANUARY MORNING SLOT
1 Qs
JEE MAIN 2019 ONLINE 12TH APRIL EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 12TH JANUARY EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 8TH APRIL EVENING SLOT
1 Qs
JEE MAIN 2019 ONLINE 9TH APRIL EVENING SLOT
1 Qs
JEE MAIN 2018 OFFLINE
1 Qs
JEE MAIN 2018 ONLINE 15TH APRIL EVENING SLOT
1 Qs
JEE MAIN 2018 ONLINE 15TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2018 ONLINE 16TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2017 OFFLINE
1 Qs
JEE MAIN 2016 OFFLINE
1 Qs
JEE MAIN 2016 ONLINE 10TH APRIL MORNING SLOT
1 Qs
JEE MAIN 2015 OFFLINE
1 Qs
JEE MAIN 2014 OFFLINE
1 Qs
JEE MAIN 2013 OFFLINE
1 Qs
AIEEE 2008
1 Qs
AIEEE 2007
1 Qs
AIEEE 2004
1 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
JEE MAIN 2023 ONLINE 11TH APRIL EVENING SHIFT20231View paper
JEE MAIN 2023 ONLINE 6TH APRIL MORNING SHIFT20231View paper
JEE MAIN 2022 ONLINE 25TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 27TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 28TH JULY EVENING SHIFT20221View paper
JEE MAIN 2022 ONLINE 28TH JUNE MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 29TH JULY MORNING SHIFT20221View paper
JEE MAIN 2022 ONLINE 29TH JUNE EVENING SHIFT20221View paper
JEE Main 2021 (Online) 24th February Evening Shift20211View paper
JEE Main 2021 (Online) 24th February Morning Shift20211View paper
JEE Main 2021 (Online) 25th February Morning Shift20211View paper
JEE MAIN 2021 ONLINE 18TH MARCH EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 20TH JULY EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 25TH JULY MORNING SHIFT20211View paper
JEE MAIN 2021 ONLINE 26TH AUGUST EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 27TH AUGUST EVENING SHIFT20211View paper
JEE MAIN 2021 ONLINE 31ST AUGUST MORNING SHIFT20211View paper
JEE MAIN 2020 ONLINE 4TH SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 6TH SEPTEMBER EVENING SLOT20201View paper
JEE MAIN 2020 ONLINE 6TH SEPTEMBER MORNING SLOT20202View paper
JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 10TH JANUARY MORNING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH APRIL EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 12TH JANUARY EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 8TH APRIL EVENING SLOT20191View paper
JEE MAIN 2019 ONLINE 9TH APRIL EVENING SLOT20191View paper
JEE MAIN 2018 OFFLINE20181View paper
JEE MAIN 2018 ONLINE 15TH APRIL EVENING SLOT20181View paper
JEE MAIN 2018 ONLINE 15TH APRIL MORNING SLOT20181View paper
JEE MAIN 2018 ONLINE 16TH APRIL MORNING SLOT20181View paper
JEE MAIN 2017 OFFLINE20171View paper
JEE MAIN 2016 OFFLINE20161View paper
JEE MAIN 2016 ONLINE 10TH APRIL MORNING SLOT20161View paper
JEE MAIN 2015 OFFLINE20151View paper
JEE MAIN 2014 OFFLINE20141View paper
JEE MAIN 2013 OFFLINE20131View paper
AIEEE 200820081View paper
AIEEE 200720071View paper
AIEEE 200420041View paper

All Height And Distance previous year questions

Practice every matching question in batches of 20, with every available option.

1
2004 · Mathematics · Trigonometry · Height And Distance
AIEEE 2004
A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is \({60^ \circ }\) and when he retires \(40\) meters away from the tree the angle of elevation becomes \({30^ \circ }\). The breadth of the river is :
A
\(60\,\,m\)
B
\(30\,\,m\)
C
\(40\,\,m\)
D
\(20\,\,m\)
Open complete paper
2
2007 · Mathematics · Trigonometry · Height And Distance
AIEEE 2007
A tower stands at the centre of a circular park. \(A\) and \(B\) are two points on the boundary of the park such that \(AB(=a)\) subtends an angle of \({60^ \circ }\) at the foot of the tower, and the angle of elevation of the top of the tower from \(A\) or \(B\) is \({30^ \circ }\). The height of the tower is :
A
\(a/\sqrt 3\)
B
\(a\sqrt 3\)
C
\(2a/\sqrt 3\)
D
\(2a\sqrt 3\)
Open complete paper
3
2008 · Mathematics · Trigonometry · Height And Distance
AIEEE 2008
\(AB\) is a vertical pole with \(B\) at the ground level and \(A\) at the top. \(A\) man finds that the angle of elevation of the point \(A\) from a certain point \(C\) on the ground is \({60^ \circ }\). He moves away from the pole along the line \(BC\) to a point \(D\) such that \(CD=7\) m. From \(D\) the angle of elevation of the point \(A\) is \({45^ \circ }\). Then the height of the pole is :
A
\({{7\sqrt 3 } \over 2} {1 \over {\sqrt {3 - 1} }}m\)
B
\({{7\sqrt 3 } \over 2}\left( {\sqrt {3 } + 1 } \right)m\)
C
\({{7\sqrt 3 } \over 2}\left( {\sqrt {3 } - 1 } \right)m\)
D
\({{7\sqrt 3 } \over 2} {1 \over {\sqrt {3 + 1} }}m\)
Open complete paper
4
2013 · Mathematics · Trigonometry · Height And Distance
JEE MAIN 2013 OFFLINE
\(ABCD\) is a trapezium such that \(AB\) and \(CD\) are parallel and \(BC \bot CD.\) If \(\angle ADB = \theta ,\,BC = p\) and \(CD = q,\) then AB is equal to:
A
\({{\left( {{p^2} + {q^2}} \right)\sin \theta } \over {p\cos \theta + q\sin \theta }}\)
B
\({{{p^2} + {q^2}\cos \theta } \over {p\cos \theta + q\sin \theta }}\)
C
\({{{p^2} + {q^2}} \over {{p^2}\cos \theta + {q^2}\sin \theta }}\)
D
\({{\left( {{p^2} + {q^2}} \right)\sin \theta } \over {{{\left( {p\cos \theta + q\sin \theta } \right)}^2}}}\)
Open complete paper
5
2014 · Mathematics · Trigonometry · Height And Distance
JEE MAIN 2014 OFFLINE
A bird is sitting on the top of a vertical pole \(20\) m high and its elevation from a point \(O\) on the ground is \({45^ \circ }\). It files off horizontally straight away from the point \(O\). After one second, the elevation of the bird from \(O\) is reduced to \({30^ \circ }\). Then the speed (in m/s) of the bird is :
A
\(20\sqrt 2\)
B
\(20\left( {\sqrt 3 - 1} \right)\)
C
\(40\left( {\sqrt 2 - 1} \right)\)
D
\(40\left( {\sqrt 3 - \sqrt 2 } \right)\)
Open complete paper
6
2015 · Mathematics · Trigonometry · Height And Distance
JEE MAIN 2015 OFFLINE
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 :
A
\(1:\sqrt 3\)
B
\(2:3\)
C
\(\sqrt 3 :1\)
D
\(\sqrt 3 :\sqrt 2\)
Open complete paper
7
2016 · Mathematics · Trigonometry · Height And Distance
JEE MAIN 2016 OFFLINE
A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point A on the path, he observes that the angle of elevation of the top of the pillar is 30o. After walking for 10 minutes from A in the same direction, at a point B, he observes that the angle of elevation of the top of the pillar is 60o. Then the time taken (in minutes) by him, from B to reach the pillar, is :
A
6
B
10
C
20
D
5
Open complete paper
8
2016 · Mathematics · Trigonometry · Height And Distance
JEE MAIN 2016 ONLINE 10TH APRIL MORNING SLOT
The angle of elevation of the top of a vertical tower from a point A, due east of it is 45o. The angle of elevation of the top of the same tower from a point B, due south of A is 30o. If the distance between A and B is \(54\sqrt 2 \,m,\) then the height of the tower (in metres), is :
A
\(36\sqrt 3\)
B
54
C
\(54\sqrt 3\)
D
108
Open complete paper
9
2017 · Mathematics · Trigonometry · Height And Distance
JEE MAIN 2017 OFFLINE
Let a vertical tower AB have its end A on the level ground. Let C be the mid-point of AB and P be a point on the ground such that AP = 2AB. If \(\angle\)BPC = \(\beta\), then tan\(\beta\) is equal to:
A
\({1 \over 4}\)
B
\({2 \over 9}\)
C
\({4 \over 9}\)
D
\({6 \over 7}\)
Open complete paper
10
2018 · Mathematics · Trigonometry · Height And Distance
JEE MAIN 2018 OFFLINE
PQR is a triangular park with PQ = PR = 200 m. A T.V. tower stands at the mid-point of QR. If the angles of elevation of the top of the tower at P, Q and R are respectively 45\(^\circ\), 30\(^\circ\) and 30\(^\circ\), then the height of the tower (in m) is :
A
\(50\sqrt 2\)
B
100
C
50
D
\(100\sqrt 3\)
Open complete paper
11
2018 · Mathematics · Trigonometry · Height And Distance
JEE MAIN 2018 ONLINE 15TH APRIL EVENING SLOT
A tower T1 of height 60 m is located exactly opposite to a tower T2 of height 80 m on a straight road. Fromthe top of T1, if the angle of depression of the foot of T2 is twice the angle of elevation of the top of T2, then the width (in m) of the road between the feetof the towers T1 and T2 is :
A
\(10\sqrt 2\)
B
\(10\sqrt 3\)
C
\(20\sqrt 3\)
D
\(20\sqrt 2\)
Open complete paper
12
2018 · Mathematics · Trigonometry · Height And Distance
JEE MAIN 2018 ONLINE 15TH APRIL MORNING SLOT
An aeroplane flying at a constant speed, parallel to the horizontal ground, \(\sqrt 3\) kmabove it, is obsered at an elevation of \({60^o}\) from a point on the ground. If, after five seconds, its elevation from the same point, is \({30^o}\), then the speed (in km / hr) of the aeroplane, is :
A
1500
B
1440
C
750
D
720
Open complete paper
13
2018 · Mathematics · Trigonometry · Height And Distance
JEE MAIN 2018 ONLINE 16TH APRIL MORNING SLOT
A man on the top of a vertical tower observes a car moving at a uniform speed towards the tower on a horizontal road. If it takes 18 min. for the angle of depression of the car to change from 30o to 45o ; then after this, the time taken (in min.) by the car to reach the foot of the tower, is :
A
\(9\left( {1 + \sqrt 3 } \right)\)
B
\(18\left( {1 + \sqrt 3 } \right)\)
C
\(18\left( {\sqrt 3 - 1} \right)\)
D
\({9 \over 2}\left( {\sqrt 3 - 1} \right)\)
Open complete paper
14
2019 · Mathematics · Trigonometry · Height And Distance
JEE MAIN 2019 ONLINE 10TH APRIL MORNING SLOT
ABC is a triangular park with AB = AC = 100 metres. A vertical tower is situated at the mid-point of BC. If the angles of elevation of the top of the tower at A and B are cot–1 (3\(\sqrt 2\) ) and cosec–1 (2\(\sqrt 2\) ) respectively, then the height of the tower (in metres) is :
A
\({{100} \over {3\sqrt 3 }}\)
B
25
C
20
D
10\(\sqrt 5\)
Open complete paper
15
2019 · Mathematics · Trigonometry · Height And Distance
JEE MAIN 2019 ONLINE 10TH JANUARY MORNING SLOT
Consider a triangular plot ABC with sides AB = 7m, BC = 5m and CA = 6m. A vertical lamp-post at the mid point D of AC subtends an angle 30o at B. The height (in m) of the lamp-post is -
A
\(2\sqrt {21}\)
B
\({3 \over 2}\sqrt {21}\)
C
\(7\sqrt {3}\)
D
\({2 \over 3}\sqrt {21}\)
Open complete paper
16
2019 · Mathematics · Trigonometry · Height And Distance
JEE MAIN 2019 ONLINE 12TH APRIL EVENING SLOT
The angle of elevation of the top of a vertical tower standing on a horizontal plane is observed to be 45o from a point A on the plane. Let B be the point 30 m vertically above the point A. If the angle of elevation of the top of the tower from B be 30o, then the distance (in m) of the foot of the tower from the point A is :
A
\(15\left( {1 + \sqrt 3 } \right)\)
B
\(15\left( {3 - \sqrt 3 } \right)\)
C
\(15\left( {3 + \sqrt 3 } \right)\)
D
\(15\left( {5 - \sqrt 3 } \right)\)
Open complete paper
17
2019 · Mathematics · Trigonometry · Height And Distance
JEE MAIN 2019 ONLINE 12TH JANUARY EVENING SLOT
If the angle of elevation of a cloud from a point P which is 25 m above a lake be 30o and the angle of depression of reflection of the cloud in the lake from P be 60o, then the height of the cloud (in meters) from the surface of the lake is :
A
45
B
42
C
50
D
60
Open complete paper
18
2019 · Mathematics · Trigonometry · Height And Distance
JEE MAIN 2019 ONLINE 8TH APRIL EVENING SLOT
Two vertical poles of heights, 20 m and 80 m stand a part on a horizontal plane. The height (in meters) of the point of intersection of the lines joining the top of each pole to the foot of the other, from this horizontal plane is :
A
12
B
16
C
15
D
18
Open complete paper
19
2019 · Mathematics · Trigonometry · Height And Distance
JEE MAIN 2019 ONLINE 9TH APRIL EVENING SLOT
Two poles standing on a horizontal ground are of heights 5m and 10 m respectively. The line joining their tops makes an angle of 15º with ground. Then the distance (in m) between the poles, is :-
A
\(5\left( {2 + \sqrt 3 } \right)\)
B
\({5 \over 2}\left( {2 + \sqrt 3 } \right)\)
C
\(10\left( {\sqrt3 - 1 } \right)\)
D
\(5\left( {\sqrt3 + 1 } \right)\)
Open complete paper
20
2020 · Mathematics · Trigonometry · Height And Distance
JEE MAIN 2020 ONLINE 4TH SEPTEMBER EVENING SLOT
The angle of elevation of a cloud C from a point P, 200 m above a still lake is 30°. If the angle of depression of the image of C in the lake from the point P is 60°,then PC (in m) is equal to :
A
\(200\sqrt 3\)
B
400
C
100
D
\(400\sqrt 3\)
Open complete paper

Showing 20 of 41 questions