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- Question
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
- Correct Answer
- 240?3
- 1. 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
- 2. 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
- 3. 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
- 4. Two ships are sailing in the sea on the two sides of a light house. The angle of elevation of the top of the light house as observed from the two ships are 30° and 45° respectively. If the light house is 100m high, the distance between the two ships is :(take ?3=1.73)
Options- A. 173m
- B. 200m
- C. 273m
- D. 300m Discuss
- 5. On a ground , there is a vertical tower with a flagpole on its top . At a point 9 m away from the foot of the tower , the angles of elevation of the top and bottom of the flagpole are 60° and 30° respectively . The height of the flagpole is
Options- A. 5?3 m
- B. 6?3 m
- C. 6?2m
- D. 6?5 m Discuss
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. 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
Height and Distance problems
Search Results
Correct Answer: 200?3
Correct Answer: 210
Correct Answer: 18 m
Correct Answer: 273m
Correct Answer: 6?3 m
Correct Answer: 20(3?3)
Correct Answer: 10?3 m
Correct Answer: 43?3 metre
Correct Answer: 50 (?3 - 1)
Correct Answer: 30°
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