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- Question
From the top of a 20 m high building, the angle of elevation of the top of a tower is 60° and the angle of depression of it's foot is at 45°, then the height of the tower is (?3=1.732)
Options- A. 45.46 m
- B. 45.64 m
- C. 54.64 m
- D. 54.46 m
- Correct Answer
- 54.64 m
- 1. Two persons are on either side of a temple, 75 m high, observe the angle of elevation of the top of the temple to be 30 and 60 deg respectively. The distance between the persons is
Options- A. 173.2m
- B. 100m
- C. 157.7m
- D. 273.2m Discuss
- 2. The length of shadow of a tower is ?3 times that of its length. The angle of elevation of the sun is
Options- A. 45°
- B. 30°
- C. 60°
- D. none Discuss
- 3. A tower is 50 meters high.Its shadow is x metres shorter when the sun's altitude is 45° than when it is 30° . The value of x in metres is
Options- A. 50?3
- B. 50 (?3 - 1)
- C. 50 (?3 + 1)
- D. 50 Discuss
- 4. 129 meter from the foot of a cliff on level of ground, the angle of elevation of the top of a cliff is 30°. The height of this cliff is
Options- A. 50?3 metre
- B. 45?3 metre
- C. 43?3 metre
- D. 47?3 metre Discuss
- 5. If the elevation of the Sun changes from 30° to 60° , then the difference between the lengths of shadows of a pole 15 m high, is
Options- A. 7.5 m
- B. 15 m
- C. 10?3 m
- D. 5?3 m Discuss
- 6. The angle of elevation of a ladder leaning against a wall is 60 deg and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is
Options- A. 2.3 m
- B. 4.6 m
- C. 9.2 m
- D. 7.8 m Discuss
- 7. The upper part of a tree broke at a certain height makes an angle of 60 ° with the ground at a distance of 10 m. from its feet. The original height of the tree was
Options- A. 20?3 m.
- B. 10?3 m.
- C. 10(2+?3) m.
- D. 10(2-?3) m. Discuss
- 8. A boat is moving away from an observation tower. It makes an angle of depression of 60° with an observer's eye when at a distance of 50m from the tower. After 8 sec., the angle of depression becomes 30°. By assuming that it is running in still water, the approximate speed of the boat is
Options- A. 33 km/hr
- B. 42 km/hr
- C. 45 km/hr
- D. 50 km/hr Discuss
- 9. The angle of elevation of an aeroplane from a point on the ground is 45°. After flying for 15 seconds, the elevation changes to 30°. If the aeroplane is flying at a height of 2500 metres, then the speed of the aeroplane in km/hr. is
Options- A. 600
- B. 600 (?3 + 1)
- C. 600 ?3
- D. 600 (?3 - 1) Discuss
- 10. The shadow of a tower when the angle of elevation of the sun is 45°, is found to be 10 m longer than when it was 60° . The height of the tower is
Options- A. 5(?3 - 1) m
- B. 5(?3 + 1) m
- C. 10 (?3 - 1) m
- D. 10 (?3 + 1) m Discuss
Height and Distance problems
Search Results
Correct Answer: 173.2m
Correct Answer: 30°
Correct Answer: 50 (?3 - 1)
Correct Answer: 43?3 metre
Correct Answer: 10?3 m
Correct Answer: 9.2 m
Correct Answer: 10(2+?3) m.
Correct Answer: 45 km/hr
Correct Answer: 600 (?3 - 1)
Correct Answer: 5(?3 + 1) m
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