Height and Distance Questions Practice Question and Answer

Q:

The angles of elevation of the top of a temple, from the foot and the top of a building 48 m high, are 60o and 30o respectively. The height of the temple is more than the building. The height of the temple is-

955 0

  • 1
    72 m
    Correct
    Wrong
  • 2
    75 m
    Correct
    Wrong
  • 3
    60 m
    Correct
    Wrong
  • 4
    65 m
    Correct
    Wrong
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Answer : 1. "72 m"

Q:

The length of the shadow of a vertical tower on level ground increases by 10 meters when the altitude of the sun changes from 45° to 30°. Then the height of the tower is 

944 0

  • 1
    5 ( √3 + 1 ) meters
    Correct
    Wrong
  • 2
    5 ( √3 - 1 ) meters
    Correct
    Wrong
  • 3
    5√3 meters
    Correct
    Wrong
  • 4
    $$ {5\over √3} meters $$
    Correct
    Wrong
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Answer : 1. "5 ( √3 + 1 ) meters "

Q:

The angle of elevation of an airplane flying at 1500 altitude from the earth to the airport is 60 degrees, find the horizontal distance of the aircraft from the airport.

903 0

  • 1
    866 Meter
    Correct
    Wrong
  • 2
    856 Meter
    Correct
    Wrong
  • 3
    800 Meter
    Correct
    Wrong
  • 4
    500 Meter
    Correct
    Wrong
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Answer : 1. "866 Meter"

Q:

An Aeroplan 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 Aeroplan (taking √3 = 1.732) 

903 0

  • 1
    235.93 m/sec.
    Correct
    Wrong
  • 2
    236.25 m/sec.
    Correct
    Wrong
  • 3
    230.63 m/sec.
    Correct
    Wrong
  • 4
    230.93 m/sec.
    Correct
    Wrong
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Answer : 4. "230.93 m/sec. "

Q:

The angle of elevation of sun changes form 30°to 45°, the length of the shadow of a pole decreases by 4 meters, the height of the pole is (Assume √3 = 1.732) 

874 0

  • 1
    1.464 m
    Correct
    Wrong
  • 2
    9.464 m
    Correct
    Wrong
  • 3
    3.648 cm
    Correct
    Wrong
  • 4
    5.464 m
    Correct
    Wrong
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Answer : 4. "5.464 m"

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Answer : 1. "45 km/h "

Q:

A ladder is placed along a wall such that its upper end is touching the top of the wall. The foot of the ladder is 10 ft away from the wall and the ladder is making an angle of 60 ° with the ground. When a man starts climbing on it, it slips and now ladder makes an angle of 30° with ground. How much did the ladder slip? 

838 0

  • 1
    30 (√3-1) ft
    Correct
    Wrong
  • 2
    18 (√3-1) ft
    Correct
    Wrong
  • 3
    10 (√3-1) ft
    Correct
    Wrong
  • 4
    20 (√3-1) ft
    Correct
    Wrong
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Answer : 3. "10 (√3-1) ft "

Q:

An Aeroplan is flying horizontally at a height of 1.8 km above the ground. The angle of elevation of plane from point X is 60° and after 20 seconds, its angle of elevation from X becomes 30°, If point X is on ground, then what is the speed (in km / hr.) of Aeroplan? 

838 0

  • 1
    201√3
    Correct
    Wrong
  • 2
    305√3
    Correct
    Wrong
  • 3
    216√3
    Correct
    Wrong
  • 4
    105√3
    Correct
    Wrong
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Answer : 3. "216√3 "

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