Height & Distance
26 NDA Mathematics previous year questions (PYQs) from 13 papers, 2017 to 2026, with answers and worked solutions.
About this chapter
- Difficulty: 2 easy · 6 moderate · 18 hard.
- Most-asked subtopics: Heights and Distances from Angles of Elevation (18), Shadows, Leaning Structures, and Special Geometry (8).
- Updated 14 September 2026.
- Set · 2 questionsFor the following two (02) items that follow : From the top of a building, the angles of depression of the top and bottom of a tower of height are and respectively. Let be the height of the building and be the horizontal distance between the building and the tower.
#1Heights and Distances from Angles of Elevation
- NDA · Sep 2026 · Q2Moderate
#2Heights and Distances from Angles of Elevation
#3Heights and Distances from Angles of Elevation
#4Heights and Distances from Angles of Elevation
#5Heights and Distances from Angles of Elevation
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#6Heights and Distances from Angles of Elevation
- NDA · Sep 2018 · Q39Moderate
#7Heights and Distances from Angles of Elevation
- NDA · Sep 2018 · Q41Moderate
#8Heights and Distances from Angles of Elevation
#9Heights and Distances from Angles of Elevation
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#11Heights and Distances from Angles of Elevation
#12Heights and Distances from Angles of Elevation
- Set · 1 questionConsider the following for the next three (03) items that follow: ABC is a triangular plot with AB = 16 m, BC = 10 m and CA = 10 m. A lamp post is situated at the middle point of the side AB. The lamp post subtends an angle 45° at the vertex B.
#13Heights and Distances from Angles of Elevation
- Set · 2 questionsConsider the following for the next two (02) items that follow: A flagstaff 20 m long standing on a pillar 10 m high subtends an angle at a point on the ground. Let be the angle subtended by the pillar at this point .
#14Heights and Distances from Angles of Elevation
- NDA · Apr 2023 · Q34Moderate
#15Heights and Distances from Angles of Elevation
#16Heights and Distances from Angles of Elevation
- Set · 2 questionsThe top (M) of a tower is observed from three points P, Q and R lying in a horizontal straight line which passes directly along the foot (N) of the tower. The angles of elevations of M from P, Q and R are 30°, 45° and 60° respectively. Let PQ = a and QR = b.
#17Heights and Distances from Angles of Elevation
#18Heights and Distances from Angles of Elevation
#19Shadows, Leaning Structures, and Special Geometry
- NDA · Apr 2019 · Q97Moderate
#20Shadows, Leaning Structures, and Special Geometry
#21Shadows, Leaning Structures, and Special Geometry
#22Shadows, Leaning Structures, and Special Geometry
- Set · 3 questionsConsider the following for the next three (03) items that follow: There are two points P and Q due south of a leaning tower, which leans towards north. P is at a distance x and Q is at a distance y from the foot of the tower (x > y). The angles of elevation of the top of the tower from P and Q are 15° and 75° respectively.
#23Shadows, Leaning Structures, and Special Geometry
#24Shadows, Leaning Structures, and Special Geometry
#25Shadows, Leaning Structures, and Special Geometry
- NDA · Apr 2026 · Q40Moderate
#26Shadows, Leaning Structures, and Special Geometry
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