Height and Distance Questions Practice Question and Answer

Q:

The angle of elevation of an aeroplane from a point on the ground is 60°. After flying for 15 second, the angle of elevation changes to 30°. If the Aeroplane is flying at a height of 4500 meter, then what is the speed (in m/s) of aeroplane?

823 0

  • 1
    $$ {150\sqrt{3}}$$
    Correct
    Wrong
  • 2
    $$ {200\sqrt{3}}$$
    Correct
    Wrong
  • 3
    $$ {100\sqrt{3}}$$
    Correct
    Wrong
  • 4
    $$ {50\sqrt{3}}$$
    Correct
    Wrong
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Answer : 2. "$$ {200\sqrt{3}}$$"

Q:

The angle of elevation of the top of a tree 220 metres high from two points lies on the same plane are 30° and 45°. What is the distance (in metres) between the two points?

908 0

  • 1
    193.22
    Correct
    Wrong
  • 2
    161.05
    Correct
    Wrong
  • 3
    144.04
    Correct
    Wrong
  • 4
    176.12
    Correct
    Wrong
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Answer : 2. "161.05"

Q:

The distance between the tops of two building 38 metres and 58 metres and high is 52 metres. What will be the distance (in metres) between two building?

965 0

  • 1
    42
    Correct
    Wrong
  • 2
    46
    Correct
    Wrong
  • 3
    48
    Correct
    Wrong
  • 4
    44
    Correct
    Wrong
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Answer : 3. "48"

Q:

A ladder rests against a wall at a height of 10 meters. If the ladder makes 30° along the ground. Find the distance from the wall of the foot of the ladder.

848 0

  • 1
    $$ {10\over{\sqrt{3}}}$$
    Correct
    Wrong
  • 2
    $$ {20 \sqrt{3}}\over{3}$$
    Correct
    Wrong
  • 3
    $$ {10\sqrt{3}}$$
    Correct
    Wrong
  • 4
    $$ {20\sqrt{3}}$$
    Correct
    Wrong
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Answer : 3. "$$ {10\sqrt{3}}$$"

Q:

Ramesh stands 40 meters away from the foot of a tower, if the angle of elevation of the sun is 60 degrees at that point, what will be the height of the tower?

991 0

  • 1
    40
    Correct
    Wrong
  • 2
    $$ {40\sqrt{3}}$$
    Correct
    Wrong
  • 3
    45
    Correct
    Wrong
  • 4
    $$ {60\sqrt{3}}$$
    Correct
    Wrong
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Answer : 2. "$$ {40\sqrt{3}}$$"

Q:

The distance between two parallel poles is 40√3 m. The angle of depression of the top of the second pole, when seen from the top of first pole, is 30 °. What will be the height of second tower if the first pole is 100m long? 

985 0

  • 1
    35 √3
    Correct
    Wrong
  • 2
    60 m
    Correct
    Wrong
  • 3
    50 √3 m
    Correct
    Wrong
  • 4
    80 m
    Correct
    Wrong
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Answer : 2. "60 m "

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 

986 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
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Answer : 1. "30(√3+1) 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? 

1115 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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