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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 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 Discuss
- 5. Two trees are standing along the opposite sides of a road. Distance between the two trees is 400 metres. There is a point on the road between the trees. The angle of depressions of the point from the top of the trees are 45 deg and 60 deg. If the height of the tree which makes 45 deg angle is 200 metres, then what will be the height (in metres) of the other tree?
Options- A. 200
- B. 200?3
- C. 100?3
- D. 250 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: 240?3
Correct Answer: 200?3
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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