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
11. The angle of elevation of a tower from a point on the ground is 45°. On moving 10 m closer, the angle becomes 60°. Find the height of the tower.
- 10√3 m
- 15√3 m
- 20 m
- 20√3 m
12. An observer 1.6 m tall sees the top of a tower at an elevation of 30°. The distance between the observer and the tower is 20√3 m. Find the height of the tower.
- 12 m
- 11.6 m
- 10 m
- 15 m
13. A building 50 m high casts a shadow of 50√3 m. Find the angle of elevation of the sun.
- 60°
- 30°
- 45°
- 75°
14. A hill is observed at an elevation of 45° from a point A. After ascending 100 m vertically to point B, the angle becomes 60°. Find the height of the hill.
- 273.2 m
- 300 m
- 273 m
- 200 m
15. The angle between an observer's line of sight to the top of a tower and the horizontal is 45°. If the observer is 40 m from the base, find the tower's height.
- 40 m
- 20√3 m
- 60 m
- 30 m
16. From the top of a tower 30 m high, the angle of depression of the top and bottom of a pole are 30° and 45°. Find the height of the pole.
- 26.08 m
- 20.8 m
- 25 m
- 28 m
17. A man on top of a tower finds the angle of depression of a car as 30°. The car is 80 m from the base. Find the tower's height.
- 46.18 m
- 40 m
- 32 m
- 50 m
18. A tree 10 m high casts a shadow 10√3 m long. Find the elevation angle of the sun.
- 45°
- 30°
- 60°
- 50°
19. The top of one tower is 50 m higher than another. From a point between them, the angles of elevation of their tops are 30° and 60° respectively. Find the distance between the towers.
- 57.7 m
- 100 m
- 86.6 m
- 50 m
20. The angle of elevation of a tower from a point on the same level is 45°. On advancing 30 m toward it, the angle changes to 60°. Find the tower's height.
- 30 m
- 20√3 m
- 25.98 m
- 15√3 m