Height and Distance Questions
Height and distance questions use trigonometric ratios to calculate the height of objects or the distance between points. Practise problems involving angles of elevation and depression, buildings, towers, and other real-world situations.
6 questions
- Two towers of height h₁ and h₂ subtend angles of 30° and 60° respectively at a point on the line joining their feet. If the distance between the towers is…
- A balloon is observed from two points A and B on the ground, 1200 m apart. If the angles of elevation of the balloon from these points are 60° and…
- A man standing on the deck of a ship (25 m above water level) observes the angle of elevation of the top of a cliff as 60° and the angle…
- Two vertical poles stand on the ground, 50 meters apart. The height of the smaller pole is 10 meters. From the top of the smaller pole, the angle of elevation…
- If a 16 metres long rope is stretched from the ground to the top of the house such that the rope makes an angle of 30° with the ground, then…
- A stick of length 48 cm is at an inclination of 60° to a wall with its bottom touching the floor of the wall. Find the length from the floor…