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  • Question

  • An aeroplane flying horizontally at a height of 3 Km. above the ground is observed at a certain point on earth to subtend an angle of 60°. After 15 sec flight, its angle of elevation is changed to 30°. The speed of the aeroplane (taking ?3 = 1.732) is


  • Options
  • A. 230.63 m/sec
  • B. 230.93 m/sec
  • C. 235.85 m/sec
  • D. 236.25 m/sec

  • Correct Answer
  • 230.93 m/sec 

    • Tags: Bank Exams

    Simplification problems

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    • 1. The value of 8(sin6? + cos6?) - 12(sin4? + cos4?) is equal to

    • Options
    • A. 20
    • B. -20
    • C. 4
    • D. -4
      • Discuss
    • 2. If tan4? + tan2? = 1 then the value of cos4? + cos2? is

    • Options
    • A. 2
    • B. 0
    • C. 1
    • D. -1
      • Discuss
    • 3. (1 + sec 20° + cot 70°)(1 - cosec 20° + tan70°) is equal to

    • Options
    • A. 0
    • B. 1
    • C. 2
    • D. 3
      • Discuss
    • 4. If a2sec2x - b2tan2x = c2 then the value of sec2x + tan2x is equal to (assume b2 ? a2 )

    • Options
    • A. b2-a2+2c2b2+a2
    • B. b2+a2-2c2b2-a2
    • C. b2-a2-2c2b2+a2
    • D. b2-a2b2+a2+2c2
      • Discuss
    • 5. If x tan 60° + cos 45° = sec 45° then the value of x2 + 1 is

    • Options
    • A. 6/7
    • B. 7/6
    • C. 5/6
    • D. 6/5
      • Discuss
    • 6. If the angle of elevation of the sun decreases from 45° to 30°, then the length of the shadow of a pillar increases by 60m. The height of the pillar is

    • Options
    • A. 60(?3+1) m
    • B. 30(?3-1) m
    • C. 30(?3+1) m
    • D. 60(?3-1) m
      • Discuss
    • 7. The angle of elevation of the top of a tower, vertically erected in the middle of a paddy field, from two points on a horizontal line through the foot of the tower are given to be ? and ? (?>?). The height of the tower is h unit. A possible distance (in the same unit) between the points is

    • Options
    • A. h(cot?-cot?)cos(?+?)
    • B. h(cot? - cot?)
    • C. h(tan? - tan?)tan? tan?
    • D. h(cot?+cot?)
      • Discuss
    • 8. If x2+1x2 = 98, then x3+1x3 = ?

    • Options
    • A. 970
    • B. 1030
    • C. -970
    • D. -1030
      • Discuss
    • 9. If a+1b = 1 and b+1c = 1 then c+1a = ?

    • Options
    • A. 0
    • B. 2
    • C. 1
    • D. 3
      • Discuss
    • 10. If x = y + 2 then x3 - y3 - z3 is

    • Options
    • A. 0
    • B. 3xyz
    • C. -3xyz
    • D. 1
      • Discuss

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