Height and Distance Questions Practice Question and Answer

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?

637 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?

698 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.

549 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?

732 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? 

654 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 

651 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? 

839 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 "

Q:

The upper part of a tree is broken over by the wind makes an angle of 60 ° with the ground. The distance between the root and the point where top of the tree touches the ground is 25 metres. What was the height (in metres) of the tree? 

633 0

  • 1
    98.25
    Correct
    Wrong
  • 2
    120.24
    Correct
    Wrong
  • 3
    84.14
    Correct
    Wrong
  • 4
    93.3
    Correct
    Wrong
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Answer : 4. "93.3 "

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