Height and Distance Questions Practice Question and Answer

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Answer : 3. "19 "

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?

1432 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:

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).

1432 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 "

Q:

As observed from the top of a light house, 120 √3 m above the sea level, the angle of depression of a ship sailing towards it changes from 30° to 60°. The distance travelled by the ship during the period of observation is:

1350 0

  • 1
    120 √3 m
    Correct
    Wrong
  • 2
    180 √3 m
    Correct
    Wrong
  • 3
    180 m
    Correct
    Wrong
  • 4
    240 m
    Correct
    Wrong
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Answer : 4. "240 m"

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:

1276 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:

If the angel of elevation of the sun decreases from 450 to 300, then the length of the shadow of a pillar increase by 60 m. The height of the pillar is

1166 0

  • 1
    60(√3+1) m
    Correct
    Wrong
  • 2
    30(√3-1) m
    Correct
    Wrong
  • 3
    30(√3+1) m
    Correct
    Wrong
  • 4
    60(√3-1) m
    Correct
    Wrong
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Answer : 3. "30(√3+1) m"

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