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Home Aptitude Height and Distance Comments

  • Question
  • A ladder is resting against a vertical wall and its bottom is 2.5 m away from the wall. If it slips 0.8 m down the wall, then its bottom will move away from the wall by 1.4 m. What is the length of the ladder?


  • Options
  • A. 6.2 m
  • B. 6.5 m
  • C. 6.8 m
  • D. 7.5 m

  • Correct Answer
  • 6.5 m 


  • Height and Distance problems


    Search Results


    • 1. The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:

    • Options
    • A. 2.3 m
    • B. 4.6 m
    • C. 7.8 m
    • D. 9.2 m
    • Discuss
    • 2. A flagstaff 17.5 m high casts a shadow of length 40.25 m. What will be the height of a building, which casts a shadow of length 28.75 m under similar conditions ? ?

    • Options
    • A. 14 cm
    • B. 13.5 cm
    • C. 12.5 cm
    • D. 11.4 cm
    • Discuss
    • 3. The top and bottom of a tower were seen to be at angles of depression 30° and 60° from the top of a hill of height 100 m. Find the height of the tower ?

    • Options
    • A. 42.2 mts
    • B. 33.45 mts
    • C. 66.6 mts
    • D. 58.78 mts
    • Discuss
    • 4. Jack takes 20 minutes to jog around the race course one time, and 25 minutes to jog around a second time. What is his average speed in miles per hour for the whole jog if the course is 3 miles long?

    • Options
    • A. 6
    • B. 8
    • C. 9
    • D. 10
    • Discuss
    • 5. A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P?

    • Options
    • A. Data inadequate
    • B. 8 units
    • C. 12 units
    • D. None of these
    • Discuss
    • 6. The height and the slant height of a right circular cone are 24 cm and 25 cm, respectively. Considering ? as 22/7 , find the curved surface area of the said cone.

    • Options
    • A. 550 cm2
    • B. 572 cm2
    • C. 528 cm2
    • D. 539 cm2
    • Discuss
    • 7. Two men standing on same side of a pillar 75 metre high, observe the angles of elevation of the top of the pillar to be 30° and 60° respectively the distance between two men is

    • Options
    • A. 100 3m
    • B. 100m
    • C. 753m
    • D. 253m
    • Discuss
    • 8. There are two parallel streets each directed north to south. A person in the first street travelling from south to north wishes to take the second street which is on his right side. At some place, he makes a 150 deg turn to the right and he travels for 15 minutes at the speed of 20 km/hr. After that he takes a left turn of 60 deg and travels for 20 minutes at the speed of 30 km/hr in order to meet the second street. What is the distance between the two streets?

    • Options
    • A. 7.5 km
    • B. 10.5 km
    • C. 12.5 km
    • D. 15 km
    • Discuss
    • 9. The top of a broken tree touches the ground at a distance of 15 m from its base. If the tree is broken at a height of 8 m from the ground, then the actual height of the tree is

    • Options
    • A. 17 m
    • B. 27 m
    • C. 25 m
    • D. 30 m
    • Discuss
    • 10. A ladder 13 m long reaches a window which is 12 m above the ground on side of a street. Keeping its foot at the same point, the ladder is turned to the other side of the street to each a window 5m high, then the width of the street is :

    • Options
    • A. 17 m
    • B. 16 m
    • C. 14 m
    • D. 15 m
    • Discuss


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