NDA Heights and Distances questions with solutions
Applications of trigonometry to heights and distances. 12 questions from our 2016–2025 NDA pattern papers, from the Class 10 Mathematics syllabus. Each has the answer and a full solution.
NDA 2025
NDA 2023
- A 10 m long ladder leans against a vertical wall and makes an angle of 60^° with the horizontal ground. The height of the point where the ladder…
- From the top of a 50 m high cliff the angle of depression of a boat is 45^°. The distance of the boat from the foot of the cliff is
- A tower is 100 m high. Two points on the same side of it, in line with its foot, see the top at elevations 30^° and 60^°. The distance between the…
- A flagstaff 10 m long stands on top of a vertical tower. From a point on the level ground the angles of elevation of the bottom and the top of the…
NDA 2021
NDA 2020
NDA 2019
NDA 2016
- A kite is flying at the end of a taut string 100 m long, inclined at 60^° to the horizontal ground. The height of the kite above the ground is
- From the top of a lighthouse 75 m high, the angles of depression of two ships on opposite sides of the lighthouse are 30^° and 45^°. The distance…
- A flagstaff stands on top of a tower 20 m high. From a point on the ground 20 m from the foot of the tower, the angle of elevation of the top of the…
Other Mathematics topics
Three Dimensional Geometry 48Vector Algebra 60Complex Numbers and Quadratic Equations 35Binomial Theorem 16Sequences and Series 36Quadratic Equations 27Permutations and Combinations 25Statistics 35Probability 27Matrices 37Determinants 13Sets, Relations and Functions 39Binary Number System 11Logarithms 11Inverse Trigonometric Functions 22Trigonometric Functions and Identities 49Trigonometric Equations 16Properties of Triangles 18Straight Lines 43Circles 21Conic Sections 28Limits 23Continuity and Differentiability 16Application of Derivatives 34Derivatives 33Integrals 16Definite Integrals 23Application of Integrals 12Differential Equations 30