HEIGHT AND DISTANCE (CDS)

Total Questions: 24

21. If from the top of a post a string twice the length of the post is stretched tight to a point on the ground, then what angle will the string make with the post? [2014 (II) Evening Shift]

Correct Answer: (d) π/3
Solution:Let AB be the height, AC be the string and the angle made by string with the post be θ.


22. From a certain point on a straight road a person observe a tower in the West direction at a distance of 200 m. He walks some distance along the road and finds that the same tower is 300 m South of him. What is the shortest distance of the tower from the road? [2014 (II) Evening Shift]

Correct Answer: (c) 600/√13 m
Solution:Let person be at pointC and observes a tower in West direction at B.

23. The shadow of a tower standing on a level plane is found to be 50 m longer when the Sun’s elevation is 30°, then when it is 60°. What is the height of the tower? [2014 (I) Morning Shift ]

Correct Answer: (b) 25√3 m
Solution:Let h be the height of the tower and BC be x m.

24. The angle of elevation of the top of a tower 30 m high from the foot of another tower in the same plane is 60° and the angle of elevation of the top of the second tower from the foot of the first tower is 30°. The distance between the two towers is m times the height of the shorter tower. What is m equal to? [2014 (I) Morning Shift ]

Correct Answer: (b) √3
Solution:Let h be the height of shorter tower, then the distance between the two towers is mh m.