Height and Distance Questions Practice Question and Answer

Q:

The shadow of a tower standing on a level plane is found to be 30 metre longer when the Sun's altitude changes from 60 ° to 45 °. The height of the tower is 

1380 0

  • 1
    15 (√3-1) m
    Correct
    Wrong
  • 2
    15 (3-√3) m
    Correct
    Wrong
  • 3
    15 (3+√3) m
    Correct
    Wrong
  • 4
    15 (3-√3) m
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "15 (3+√3) m "

Q:

A vertical stick 12 cm long casts a shadow 8 cm long on the ground. At the same time, a tower casts a shadow 40 m long on the ground. The height of the tower is 

1379 0

  • 1
    72 m
    Correct
    Wrong
  • 2
    60 m
    Correct
    Wrong
  • 3
    65 m
    Correct
    Wrong
  • 4
    70 m
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "60 m "

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? 

1369 0

  • 1
    201√3
    Correct
    Wrong
  • 2
    305√3
    Correct
    Wrong
  • 3
    216√3
    Correct
    Wrong
  • 4
    105√3
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 3. "216√3 "

Q:

The angle of elevation of a tower from a distance 50 m from its foot is 30°. The height of the tower is 

1367 0

  • 1
    50 √ 3 m
    Correct
    Wrong
  • 2
    $$ 50\over √3$$ m
    Correct
    Wrong
  • 3
    75 √3 m
    Correct
    Wrong
  • 4
    $$ 75\over √3$$ m
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "$$ 50\over √3$$ m"

Q:

From a tower 125 metres high the angle of depression of two objects, which are horizontal line through the base of the tower are 45° and 30° and they are on the same side of the tower. The distance (in metres) between the objects is

1358 0

  • 1
    125√3
    Correct
    Wrong
  • 2
    125(√3-1)
    Correct
    Wrong
  • 3
    125/(√3-1)
    Correct
    Wrong
  • 4
    125/(√3+1)
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "125(√3-1) "

Q:

The shadow of the tower becomes 60 meters longer when the altitude of the sun changes from 45 ° to 30 °. Then the height of the tower is 

1346 0

  • 1
    30(√3+1) m
    Correct
    Wrong
  • 2
    30(√3-1) m
    Correct
    Wrong
  • 3
    20(√3+1) m
    Correct
    Wrong
  • 4
    24(√3+1) m
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "30(√3+1) m "

Q:

A kite is flying at a height of 50m. If the length of string is 100m then the inclination of string to the horizontal ground in degree measures is:

1343 0

  • 1
    90
    Correct
    Wrong
  • 2
    45
    Correct
    Wrong
  • 3
    60
    Correct
    Wrong
  • 4
    30
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "30"

Q:

The angle of elevation of the top of a tower from two points A and B lying on the horizontal through the foot of the tower are 159 and 30° respectively. If A and B are on the same side of the tower and AB = 48 meter, then the height of the tower is; 

1332 0

  • 1
    24√2 meter
    Correct
    Wrong
  • 2
    96 meter
    Correct
    Wrong
  • 3
    25√3 meter
    Correct
    Wrong
  • 4
    24 meter
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "24 meter"

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully