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  • Question
  • The angle of elevation of a ladder leaning against a wall is 60 deg 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. 9.2 m
  • D. 7.8 m

  • Correct Answer
  • 9.2 m 

  • Tags: Bank Exams

    Height and Distance problems


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    • 1. From the top of a 20 m high building, the angle of elevation of the top of a tower is 60° and the angle of depression of it's foot is at 45°, then the height of the tower is (?3=1.732)

    • Options
    • A. 45.46 m
    • B. 45.64 m
    • C. 54.64 m
    • D. 54.46 m
    • Discuss
    • 2. Two persons are on either side of a temple, 75 m high, observe the angle of elevation of the top of the temple to be 30 and 60 deg respectively. The distance between the persons is

    • Options
    • A. 173.2m
    • B. 100m
    • C. 157.7m
    • D. 273.2m
    • Discuss
    • 3. The length of shadow of a tower is ?3 times that of its length. The angle of elevation of the sun is

    • Options
    • A. 45°
    • B. 30°
    • C. 60°
    • D. none
    • Discuss
    • 4. A tower is 50 meters high.Its shadow is x metres shorter when the sun's altitude is 45° than when it is 30° . The value of x in metres is

    • Options
    • A. 50?3
    • B. 50 (?3 - 1)
    • C. 50 (?3 + 1)
    • D. 50
    • Discuss
    • 5. 129 meter from the foot of a cliff on level of ground, the angle of elevation of the top of a cliff is 30°. The height of this cliff is

    • Options
    • A. 50?3 metre
    • B. 45?3 metre
    • C. 43?3 metre
    • D. 47?3 metre
    • Discuss
    • 6. The upper part of a tree broke at a certain height makes an angle of 60 ° with the ground at a distance of 10 m. from its feet. The original height of the tree was

    • Options
    • A. 20?3 m.
    • B. 10?3 m.
    • C. 10(2+?3) m.
    • D. 10(2-?3) m.
    • Discuss
    • 7. A boat is moving away from an observation tower. It makes an angle of depression of 60° with an observer's eye when at a distance of 50m from the tower. After 8 sec., the angle of depression becomes 30°. By assuming that it is running in still water, the approximate speed of the boat is

    • Options
    • A. 33 km/hr
    • B. 42 km/hr
    • C. 45 km/hr
    • D. 50 km/hr
    • Discuss
    • 8. 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)
    • Discuss
    • 9. The shadow of a tower when the angle of elevation of the sun is 45°, is found to be 10 m longer than when it was 60° . The height of the tower is

    • Options
    • A. 5(?3 - 1) m
    • B. 5(?3 + 1) m
    • C. 10 (?3 - 1) m
    • D. 10 (?3 + 1) m
    • Discuss
    • 10. Two men are on opposite sides of a tower. They measure the angles of elevation of the top of the tower as 30 ? and 45 ? respectively. If the height of the tower is 50 m, the distance between the two men is (Take ?3 = 1.73)

    • Options
    • A. 136.5 m
    • B. 50 ?3 m
    • C. 100 ?3 m
    • D. 135.5 m
    • Discuss


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