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.

1191 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 angles of elevation of top and bottom of flag kept on a flag post from 30 metres distance, are 45 ° and 30 ° respectively. Height of the flag is [ taking 13 = 1.732) 

1168 0

  • 1
    14.32 m
    Correct
    Wrong
  • 2
    12.68 m
    Correct
    Wrong
  • 3
    12 √3 m
    Correct
    Wrong
  • 4
    15 m
    Correct
    Wrong
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Answer : 2. "12.68 m "

Q:

The angle of elevation of sun changes form 30°to 45°, the length of the shadow of a pole decreases by 4 meters, the height of the pole is (Assume √3 = 1.732) 

1157 0

  • 1
    1.464 m
    Correct
    Wrong
  • 2
    9.464 m
    Correct
    Wrong
  • 3
    3.648 cm
    Correct
    Wrong
  • 4
    5.464 m
    Correct
    Wrong
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Answer : 4. "5.464 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:-

1150 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:

From the top of an upright pole 17.75 m high, the angle of elevation of the top of an upright tower was 60⁰. If the tower was 57.75 m tall, how far away (in m) from the foot of the pole was the foot of the tower?

1142 0

  • 1
    $$40\sqrt {3} $$
    Correct
    Wrong
  • 2
    $${151\sqrt {3}}\over 6 $$
    Correct
    Wrong
  • 3
    $${77\over 4}\sqrt {3}$$
    Correct
    Wrong
  • 4
    $${40\sqrt {3}}\over 3 $$
    Correct
    Wrong
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Answer : 4. "$${40\sqrt {3}}\over 3 $$"

Q:

A ladder is placed along a wall such that its upper end is touching the top of the wall. The foot of the ladder is 10 ft away from the wall and the ladder is making an angle of 60 ° with the ground. When a man starts climbing on it, it slips and now ladder makes an angle of 30° with ground. How much did the ladder slip? 

1141 0

  • 1
    30 (√3-1) ft
    Correct
    Wrong
  • 2
    18 (√3-1) ft
    Correct
    Wrong
  • 3
    10 (√3-1) ft
    Correct
    Wrong
  • 4
    20 (√3-1) ft
    Correct
    Wrong
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Answer : 3. "10 (√3-1) ft "

Q:

A kite is flying at a height of 50m. If the length of string is 100m then the inclination of string to the horizontal ground in degree measures is:

1134 0

  • 1
    90
    Correct
    Wrong
  • 2
    45
    Correct
    Wrong
  • 3
    60
    Correct
    Wrong
  • 4
    30
    Correct
    Wrong
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Answer : 4. "30"

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? 

1097 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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