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  • Question

  • 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

  • Correct Answer
  • 25 m 

    • Height and Distance problems

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    • 1. 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
    • 2. 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
    • 3. 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
    • 4. 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
      • Discuss
    • 5. 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
    • 6. 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
    • 7. 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
    • 8. A tower is broken at a point P above the ground. The top of the tower makes an angle 60° with the ground at Q. From another point R on the opposite sideof Q angle of elevation of point P is 30°. If QR = 180 m, then what is the total height (in metres) of the tower?

    • Options
    • A. 90
    • B. 45?3
    • C. 45(?3+1)
    • D. 45(?3+2)
      • Discuss
    • 9. On a ground , there is a vertical tower with a flagpole on its top . At a point 9 m away from the foot of the tower , the angles of elevation of the top and bottom of the flagpole are 60° and 30° respectively . The height of the flagpole is

    • Options
    • A. 5?3 m
    • B. 6?3 m
    • C. 6?2m
    • D. 6?5 m
      • Discuss
    • 10. Two ships are sailing in the sea on the two sides of a light house. The angle of elevation of the top of the light house as observed from the two ships are 30° and 45° respectively. If the light house is 100m high, the distance between the two ships is :(take ?3=1.73)

    • Options
    • A. 173m
    • B. 200m
    • C. 273m
    • D. 300m
      • Discuss

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