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- Question
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
- Correct Answer
- 50 (?3 - 1)
- 1. 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
- 2. 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
- 3. 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) Discuss
- 4. A kite is flying in the sky. The length of string between a point on the ground and kite is 420 m. The angle of elevation of string with the ground is 30 deg. Assuming that there is no slack in the string, then what is the height (in metres) of the kite?
Options- A. 210
- B. 140?3
- C. 210?3
- D. 150 Discuss
- 5. A man standing on the bank of river observes that the angle subtended by a tree on the opposite bank is 60°. When he retires 36 m from the bank, he finds that the angle is 30°. The breadth of the river is
Options- A. 15 m
- B. 18 m
- C. 16 m
- D. 11 m Discuss
- 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 Discuss
- 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 Discuss
- 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 Discuss
- 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 Discuss
- 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. Discuss
Height and Distance problems
Search Results
Correct Answer: 43?3 metre
Correct Answer: 10?3 m
Correct Answer: 20(3?3)
Correct Answer: 210
Correct Answer: 18 m
Correct Answer: 30°
Correct Answer: 173.2m
Correct Answer: 54.64 m
Correct Answer: 9.2 m
Correct Answer: 10(2+?3) m.
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