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- Question
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
- Correct Answer
- 200?3
- 1. The height of a tower is 300 meters. When its top is seen from top of another tower,then the angle of depression is 60°. The horizontal distance between the bases of the two towers is 120 metres. What is the height (in metres) of the small tower?
Options- A. 88.24
- B. 106.71
- C. 92.15
- D. 112.64 Discuss
- 2. The upper part of a tree broken over by the wind make an angle of 60 deg with the ground. The distance between the root and the point where top of the tree touches the ground is 25 metres. What was the height (in metres) of the tree?
Options- A. 84.14
- B. 93.3
- C. 98.25
- D. 120.24 Discuss
- 3. On walking 100 metres towards a building in a horizontal line, the angle of elevation of its top changes from 45 to 60 deg. What will be the height (in metres) of the building?
Options- A. 50(3 + ?3)
- B. 100(?3 + 1)
- C. 150
- D. 100?3 Discuss
- 4. A balloon leaves from a point P rises at a uniform speed. After 6 minutes, an observer situated at a distance of 450?3 metres from point P observes that angle of elevation of the balloon is 60 deg. Assume that point of observation and point P are on the same level. What is the speed (in m/s) of the balloon?
Options- A. 4.25
- B. 3.75
- C. 4.5
- D. 3.45 Discuss
- 5. 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
- 6. From a point P, the angle of elevation of a tower is such that its tangent is 3/4. On walking 560 metres towards the tower the tangent of the angle of elevation of the tower becomes 4/3. What is the height (in metres) of the tower?
Options- A. 720
- B. 960
- C. 840
- D. 1030 Discuss
- 7. If log 2 = 0.3010 and log 3 = 0.4771, the values of log5 512 is
Options- A. 2.875
- B. 3.875
- C. 4.875
- D. 5.875 Discuss
- 8. If log 2 = 0.30103, Find the number of digits in 256 is
Options- A. 17
- B. 19
- C. 23
- D. 25 Discuss
- 9. If log 27 = 1.431, then the value of log 9 is
Options- A. 0.754
- B. 0.854
- C. 0.954
- D. 0.654 Discuss
- 10. If logaab = x, then logbab = ?
Options- A. 1/x
- B. x/(x+1)
- C. x/(1-x)
- D. x/(x-1) Discuss
Height and Distance problems
Search Results
Correct Answer: 92.15
Correct Answer: 93.3
Correct Answer: 50(3 + ?3)
Correct Answer: 3.75
Correct Answer: 600 (?3 - 1)
Correct Answer: 960
Correct Answer: 3.875
Explanation:
ANS: log5512 = log512/log5 = = = =2.709/0.699 =2709/699 =3.876
Correct Answer: 17
Explanation:
=56*0.30103 =16.85768.
Its characteristics is 16.
Hence, the number of digits in is 17.
Correct Answer: 0.954
Explanation:
log 27 = 1.431
log
= 1.431
3 log 3 = 1.431
log 3 = 0.477
log 9 = log(
)= 2 log 3 = (2 x 0.477) = 0.954
Correct Answer: x/(x-1)
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