Height and Distance Questions Practice Question and Answer

Q:

The angle of elevation of ladder leaning against a house is 60° and the foot of the ladder is 6.5 meters from the house. The length of the ladder is 

748 0

  • 1
    √13 meters
    Correct
    Wrong
  • 2
    3 meters
    Correct
    Wrong
  • 3
    √3 meters
    Correct
    Wrong
  • 4
    13 meters
    Correct
    Wrong
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Answer : 4. "13 meters "

Q:

There are two temples, one on each bank of a river just opposite to each other. One temple is 54m high. From the top of this temple, the angles of depression of the top and the foot of the other temple are 30° and 60° respectively. The length of the other temple is; 

741 0

  • 1
    36√3 m
    Correct
    Wrong
  • 2
    18√3 m
    Correct
    Wrong
  • 3
    18 m
    Correct
    Wrong
  • 4
    36 m
    Correct
    Wrong
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Answer : 4. "36 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 

739 0

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

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?

733 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:

Two poles of equal height are standing opposite to each other on either side of a road, which is 28 metre wide. From a point between them on the road, the angle of elevation  of the top are 30° and 60°. The height of each pole is:-

729 0

  • 1
    $$ {6{\sqrt{3}}}\ metre$$
    Correct
    Wrong
  • 2
    $$ {5{\sqrt{3}}}\ metre$$
    Correct
    Wrong
  • 3
    $$ {4{\sqrt{3}}}\ metre$$
    Correct
    Wrong
  • 4
    $$ {7{\sqrt{3}}}\ metre$$
    Correct
    Wrong
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Answer : 1. "$$ {6{\sqrt{3}}}\ metre$$"

Q:

The angles of elevation of the top of a tower as observed from the bottom and top of a building of height 80 metre are 60° and 45° respectively. The distance of the base of the tower from the base of the building is:-

724 0

  • 1
    $$ 40 {(\sqrt{3}-1)}\ metre $$
    Correct
    Wrong
  • 2
    $$ 40 {(3+\sqrt{3})}\ metre $$
    Correct
    Wrong
  • 3
    $$ 40 {(3-\sqrt{3})}\ metre $$
    Correct
    Wrong
  • 4
    $$ 40({\sqrt{3}}+1)\ meter$$
    Correct
    Wrong
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Answer : 4. "$$ 40({\sqrt{3}}+1)\ meter$$"

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?

710 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:

From a point P on the ground the angle of elevation of the top of a 10m tall building is 30°. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 450. Find the length of the flagstaff (Take √3 = 1.732) 

704 1

  • 1
    10 √3 m
    Correct
    Wrong
  • 2
    7.32 m
    Correct
    Wrong
  • 3
    10 (√30+2) m
    Correct
    Wrong
  • 4
    10 (√30+1) m
    Correct
    Wrong
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Answer : 2. "7.32 m"

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