height-and-distance aptitude question and answers -Page 12

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Height and Distance problems

1. The angles of elevation of the top of a tree 220 meters high from two points lie on the same plane are 30� and 45�. What is the distance (in metres) between the two points?
Options
A. 193.22
B. 144.04
C. 176.12
D. 161.05

2. The angles of elevation of the top of a tower 72 metre high from the top and bottom of a building are 30� and 60� respectively. What is the height (in metres) of building?
Options
A. 42
B. 20?3
C. 24?3
D. 48

3. 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)

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

5. 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

6. 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

7. 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

8. 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

9. 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

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