Height and Distance problems
- 1. A Navy captain going away from a lighthouse at the speed of 4[(?3) ? 1] m/s. He observes that it takes him 1 minute to change the angle of elevation of the top of the lighthouse from 60 to 45 deg. What is the height (in metres) of the lighthouse?
Options- A. 240?3
- B. 480[(?3) ? 1]
- C. 360?3
- D. 280?2 Also asked in: Bank Exams
Correct Answer: 240?3
- 2. From the top of a tower 60 mts high the angle of depression of the top and bottom of a pole are observed to be 45° and 60° respectively. If the pole and tower stand on the same plane, the height of the pole in meters is
Options- A. 60(?31)
- B. 20(?31)
- C. 20(3?3)
- D. 20(?3+1) Also asked in: Bank Exams
Correct Answer: 20(3?3)
- 3. 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 Also asked in: Bank Exams
Correct Answer: 10?3 m
- 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 Also asked in: Bank Exams
Correct Answer: 43?3 metre
- 5. 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 Also asked in: Bank Exams
Correct Answer: 50 (?3 - 1)
- 6. 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 Also asked in: Bank Exams
Correct Answer: 30°
- 7. 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 Also asked in: Bank Exams
Correct Answer: 173.2m
- 8. 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 Also asked in: Bank Exams
Correct Answer: 54.64 m
- 9. 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 Also asked in: Bank Exams
Correct Answer: 9.2 m
- 10. 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. Also asked in: Bank Exams
Correct Answer: 10(2+?3) m.
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