Height and Distance problems
- 1. The angles of elevation of the top of a tower 72 metre high from the top and bottom of a building are 30° and 60° respectively. What is the height (in metres) of building?
Options- A. 42
- B. 20?3
- C. 24?3
- D. 48 Also asked in: Bank Exams
Correct Answer: 48
- 2. The angle of elevation of an aeroplane from a point on the ground is 60 deg. After flying for 30 seconds, the angle of elevation changes to 30 deg. If the aeroplane is flying at a height of 4500 m, then what is the speed (in m/s) of aeroplane?
Options- A. 50?3
- B. 100?3
- C. 200?3
- D. 300?3 Also asked in: Bank Exams
Correct Answer: 100?3
- 3. A balloon leaves from a point P rises at a uniform speed. After 6 minutes, an observer situated at a distance of 450?3 metres from point P observes that angle of elevation of the balloon is 60 deg. Assume that point of observation and point P are on the same level. What is the speed (in m/s) of the balloon?
Options- A. 4.25
- B. 3.75
- C. 4.5
- D. 3.45 Also asked in: Bank Exams
Correct Answer: 3.75
- 4. On walking 100 metres towards a building in a horizontal line, the angle of elevation of its top changes from 45 to 60 deg. What will be the height (in metres) of the building?
Options- A. 50(3 + ?3)
- B. 100(?3 + 1)
- C. 150
- D. 100?3 Also asked in: Bank Exams
Correct Answer: 50(3 + ?3)
- 5. The upper part of a tree broken over by the wind make an angle of 60 deg with the ground. The distance between the root and the point where top of the tree touches the ground is 25 metres. What was the height (in metres) of the tree?
Options- A. 84.14
- B. 93.3
- C. 98.25
- D. 120.24 Also asked in: Bank Exams
Correct Answer: 93.3
- 6. The height of a tower is 300 meters. When its top is seen from top of another tower,then the angle of depression is 60°. The horizontal distance between the bases of the two towers is 120 metres. What is the height (in metres) of the small tower?
Options- A. 88.24
- B. 106.71
- C. 92.15
- D. 112.64 Also asked in: Bank Exams
Correct Answer: 92.15
- 7. From a point P, the angle of elevation of a tower is such that its tangent is 3/4. On walking 560 metres towards the tower the tangent of the angle of elevation of the tower becomes 4/3. What is the height (in metres) of the tower?
Options- A. 720
- B. 960
- C. 840
- D. 1030 Also asked in: Bank Exams
Correct Answer: 960
- 8. The tops of two poles of height 60 metres and 35 metres are connected by a rope. If the rope makes an angle with the horizontal whose tangent is 5/9 metres, then what is the distance (in metres) between the two poles?
Options- A. 63
- B. 30
- C. 25
- D. 45 Also asked in: Bank Exams
Correct Answer: 45
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