Height and Distance Questions Practice Question and Answer

Q:

129 meter from the foot of a cliff on level of ground, the angle of elevation of the top of cliff is 30 °. The height of this cliff is 

814 0

  • 1
    43√3 metre
    Correct
    Wrong
  • 2
    47 √3 metre
    Correct
    Wrong
  • 3
    50 √3 metre
    Correct
    Wrong
  • 4
    45 √3 metre
    Correct
    Wrong
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Answer : 1. "43√3 metre "

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?

814 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:

An electrician has to repair an electric fault on a pole of height 4 m. He needs to reach a point 1.3 m below the top of the pole to un dertake the repair work the length of ladder that he should use, which when inclined at an angle of 60° to the horizontal would enable him to reach the required positions is :

812 0

  • 1
    $$ {9\sqrt{3}\over 10}{\ meter}$$
    Correct
    Wrong
  • 2
    $$ {3\sqrt{3}\over 10}{\ meter}$$
    Correct
    Wrong
  • 3
    $$ {3\sqrt{3}\over 5}{\ meter}$$
    Correct
    Wrong
  • 4
    $$ {9\sqrt{3}\over 5}{\ meter}$$
    Correct
    Wrong
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Answer : 4. "$$ {9\sqrt{3}\over 5}{\ meter}$$"

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Answer : 3. "48"

Q:

From a point 12 meter above the water level, the angle of elevation of the top of a hill is 60° and the angle of depression of the base of the hill 30°. What is the height ( in meter) of the hill?

737 0

  • 1
    $$ {48\sqrt{3}}$$
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    $$ {36\sqrt{3}}$
    Correct
    Wrong
  • 4
    48
    Correct
    Wrong
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Answer : 4. "48"

Q:

An observer who is 1.62-meter-tall is 45 meters away form a pole. The angle of elevation of the top of the pole from his eyes is 30°. The height ( in meter) of the pole is closet to:

701 0

  • 1
    26.8
    Correct
    Wrong
  • 2
    27.6
    Correct
    Wrong
  • 3
    26.2
    Correct
    Wrong
  • 4
    25.8
    Correct
    Wrong
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Answer : 2. "27.6"

Q:

The angle of elevation of the top of a building at a distance of 70 m from its foot on a horizontal plane is found to be 60°. Find the height of the building.

572 0

  • 1
    $$70 \sqrt { 3} $$m
    Correct
    Wrong
  • 2
    $$60 \sqrt { 3} $$m
    Correct
    Wrong
  • 3
    $$50 \sqrt { 3} $$m
    Correct
    Wrong
  • 4
    $$70 \sqrt { 2} $$m
    Correct
    Wrong
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Answer : 1. "$$70 \sqrt { 3} $$m"

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Answer : 3. "172.5 "

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