Height and Distance Questions Practice Question and Answer

Q:

From an observation tower ‘h’ meter above the level of river, the angle of depression of a point on the near shore is A° and that of a point directly on the far shore is B°. Find the width of the river.

1901 0

  • 1
    h (Cot B +Cot A)
    Correct
    Wrong
  • 2
    h (tanB +tanA)
    Correct
    Wrong
  • 3
    h (tanA - tan B)
    Correct
    Wrong
  • 4
    h(cot B-cotA)
    Correct
    Wrong
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Answer : 1. "h (Cot B +Cot A)"

Q:

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

1894 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
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Answer : 2. "$$ 50\over √3$$ m"

Q:

A helicopter, at an altitude of 1500 metre, finds that two ships are sailing towards it, in the same direction. The angles of depression of the ships as observed from the helicopter are 60° and 30° respectively. Distance between the two ships, in metre is

1881 0

  • 1
    500 √3
    Correct
    Wrong
  • 2
    $${500\over√3}m$$
    Correct
    Wrong
  • 3
    100√3
    Correct
    Wrong
  • 4
    $${1000\over√3}m$$
    Correct
    Wrong
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Answer : 3. "100√3 "

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 

1862 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:

A straight tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle of 30 ° with the ground. The distance from the foot of the tree to the point, where the top touches the ground is 10m. Find the total height of the tree 

1858 0

  • 1
    10(√3+1) m
    Correct
    Wrong
  • 2
    10(√3-1) m
    Correct
    Wrong
  • 3
    10 √3 m
    Correct
    Wrong
  • 4
    $${10√3 \over3}m$$
    Correct
    Wrong
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Answer : 3. "10 √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

1854 0

  • 1
    125√3
    Correct
    Wrong
  • 2
    125(√3-1)
    Correct
    Wrong
  • 3
    125/(√3-1)
    Correct
    Wrong
  • 4
    125/(√3+1)
    Correct
    Wrong
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Answer : 2. "125(√3-1) "

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.

1843 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"

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:-

1838 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. "$$ {6{\sqrt{3}}}\ metre$$"

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