Heights and Distances Questions and Answers
Understanding Heights and Distances questions with answers is essential for anyone preparing for competitive exams like TCS, Infosys, Wipro, and Accenture placement tests. These problems are a vital part of Quantitative Aptitude, testing your grasp of trigonometry concepts such as angles of elevation and depression. Typically, these aptitude questions involve applying sine, cosine, and tangent ratios to real-life scenarios — like calculating the height of a tower, the distance of an object from a point, or the angle between two objects.
Practicing heights and distances aptitude questions with explanations helps you strengthen your problem-solving accuracy and speed — both crucial for clearing sectional cut-offs in aptitude rounds. You can practice aptitude test questions online or download PDF sets with solutions to revise systematically. Whether for campus placements or exams like AMCAT, eLitmus, or CoCubes, mastering this topic boosts your confidence and quantitative reasoning efficiency.
Solve problems based on heights and distances. Also use trigonometry basics and mensuration
Heights and Distances
41. A man standing 80 m from a tower observes a person on top raising a flag. The angle changes from 30° to 45°. Find the height of the flag.
- A) 32.68 m
- B) 46.18 m
- C) 33.1 m
- D) 20 m
42. The top of a tower subtends a 60° angle at the top of a building 30 m high. If the distance between them is 30 m, find tower height.
- A) 81.96 m
- B) 60 m
- C) 51.96 m
- D) 75 m
43. A man on the ground finds the angle of elevation of a bird flying horizontally to be 45°. After 5 s, it changes to 30°. If the bird is flying at 100√3 m height, find its speed.
- A) 100 m/s
- B) 50√3 m/s
- C) 150 m/s
- D) 200 m/s
44. Two buildings are 50 m apart. From the top of the smaller, the angle of elevation of the larger's top is 30°, and the angle of depression of its base is 30°. Find height difference.
- A) 28.87 m
- B) 57.74 m
- C) 43.3 m
- D) 50 m
45. A tower stands on a slope inclined at 30° to the horizontal. From the uphill side, the angle of elevation is 45°. Find the tower's height if horizontal distance is 50√2 m.
- A) 50 m
- B) 70.7 m
- C) 100 m
- D) 80 m
46. From a ship at sea, the top of a lighthouse is seen at an angle of elevation 30°. On sailing 200 m closer, angle becomes 45°. Find height of lighthouse.
- A) 115.5 m
- B) 173.2 m
- C) 100 m
- D) 141.4 m
47. The angle of elevation from a point 50 m away from a tower is 30°. From a second point further 50 m away, angle is 20°. Find height of tower.
- A) 36.4 m
- B) 28.5 m
- C) 32.1 m
- D) 30.1 m
48. The angle of elevation of a kite from a point on the ground is 45°. It moves 20 m higher vertically, and the angle now becomes 60°. Find its initial height.
- A) 17.32 m
- B) 20 m
- C) 30 m
- D) 34.64 m
49. The top of a hill makes an angle of elevation of 30° from a point A and 45° from a point B, which is 200 m closer. Find the hill's height.
- A) 115.4 m
- B) 182.8 m
- C) 141.4 m
- D) 200 m
50. A tree is broken by the wind. The top touches the ground 8 m from its base. The angle between the broken part and ground is 30°. Find the original height of the tree.
- A) 12.62 m
- B) 10 m
- C) 13.85 m
- D) 15.46 m