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
1. The angle of elevation of the top of a tower from a point on the ground is 30°. If the point is 20 m from the base, find the height of the tower.
- 10 m
- 20√3 m
- 20/√3 m
- 10√3 m
2. A man standing on the ground finds the angle of elevation of a balloon to be 45°. If the balloon is 40 m above the ground, find its horizontal distance from the man.
- 20 m
- 40 m
- 80 m
- 60 m
3. From the top of a 50 m high building, the angle of depression of a car on the ground is 30°. Find the distance of the car from the base of the building.
- 50√3 m
- 50/√3 m
- 25√3 m
- 25 m
4. The height of a tower is 30 m. A man standing at some distance finds its angle of elevation to be 60°. Find the distance of the man from the tower.
- 15 m
- 10√3 m
- 30/√3 m
- 10 m
5. From a point 60 m away from the base of a tower, the angle of elevation of the top is 45°. Find the height of the tower.
- 60 m
- 30 m
- 60√3 m
- 45 m
6. The angle of depression of a boat from the top of a cliff 120 m high is 30°. Find the distance of the boat from the base of the cliff.
- 120 m
- 120√3 m
- 120/√3 m
- 60√3 m
7. A tower casts a shadow 20 m long when the angle of elevation of the sun is 45°. Find the height of the tower.
- 10 m
- 15 m
- 20 m
- 25 m
8. A person observes the top of a tower at an angle of elevation of 30°. When he walks 40 m closer, the angle becomes 60°. Find the height of the tower.
- 20√3 m
- 30 m
- 40 m
- 20 m
9. The angle of elevation of a cloud from a point 200 m above a lake is 30°, and the angle of depression of its reflection in the lake is 60°. Find the height of the cloud above the lake.
- 400 m
- 600 m
- 800 m
- 1000 m
10. A flagstaff stands on a 20 m high building. The angle of elevation of the top and bottom of the flagstaff are 45° and 30° respectively. Find the height of the flagstaff.
- 16.32 m
- 14.64 m
- 10 m
- 12 m