Height and Distance Questions Practice Question and Answer

Q:

A tower standing on a horizontal plane subtends a certain angle at a point 160 cm a part from the foot of the tower. On advancing 100 meter towards the tower is found to subtend an angle twice as before. The height of tower is__

1542 0

  • 1
    60 cm
    Correct
    Wrong
  • 2
    80 cm
    Correct
    Wrong
  • 3
    40 cm
    Correct
    Wrong
  • 4
    100 cm
    Correct
    Wrong
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Answer : 2. "80 cm"

Q:

The angle of elevation of the top of a tower from a point A on the ground is 30o. On moving a distance of 20 m towards the foot of the tower to a point B, the angle of elevation increase to 60o.The height of the tower is-

1511 0

  • 1
    5√3
    Correct
    Wrong
  • 2
    15
    Correct
    Wrong
  • 3
    10√3
    Correct
    Wrong
  • 4
    20√3
    Correct
    Wrong
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Answer : 3. "10√3"

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Answer : 3. "48"

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Answer : 1. "3: 1"

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?

1440 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 the top of a hill 240 m high, the angles of depression of the top and bottom of a pole are 30° and 60°, respectively. The difference (in m) between the height of the pole and its distance from the hill is:

1399 0

  • 1
    120(2-√3)
    Correct
    Wrong
  • 2
    120(√3-1)
    Correct
    Wrong
  • 3
    80(√3-1)
    Correct
    Wrong
  • 4
    80(2-√3)
    Correct
    Wrong
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Answer : 4. "80(2-√3)"

Q:

The angle of elevation of the top of a tower from the top of a building whose height is 680 m is 45° and the angle of elevation of the top of same tower from the foot of the same building is 60°. What is the height (in m) of the tower?

1384 0

  • 1
    340(3 + √3)
    Correct
    Wrong
  • 2
    310(3 - √3)
    Correct
    Wrong
  • 3
    310(3 + √3)
    Correct
    Wrong
  • 4
    340(3 - √3)
    Correct
    Wrong
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Answer : 1. "340(3 + √3)"

Q:

Two ship are on the opposite of a light house such that all three of them are collinear. The angels of depression of the two ships from the top of the light house are 300 and 600. If the ships are $$230 \sqrt { 3} \ $$ m apart, then find the height of the light house (in m).

1377 0

  • 1
    175.4
    Correct
    Wrong
  • 2
    165.2
    Correct
    Wrong
  • 3
    172.5
    Correct
    Wrong
  • 4
    180.5
    Correct
    Wrong
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Answer : 3. "172.5 "

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