HEIGHT AND DISTANCE (CDS)Total Questions: 2421. 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](a) π/6(b) π/4(c) 5π/12(d) π/3Correct Answer: (d) π/3Solution: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](a) 300/√13 m(b) 500/√3 m(c) 600/√13 m(d) 900/√3 mCorrect Answer: (c) 600/√13 mSolution: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 ](a) 25 m(b) 25√3 m(c) 25√3 m(d) 30 mCorrect Answer: (b) 25√3 mSolution: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 ](a) √2(b) √3(c) 1/2(d) 1/3Correct Answer: (b) √3Solution:Let h be the height of shorter tower, then the distance between the two towers is mh m.Submit Quiz« Previous123