Height and Distance Questions Practice Question and Answer

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?

1268 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:

From a point P on a level ground, the angle of elevation of the top tower is 30o.If the tower is 100 m high, the distance of point P from the foot of the tower is:

1263 0

  • 1
    149 m
    Correct
    Wrong
  • 2
    156 m
    Correct
    Wrong
  • 3
    173 m
    Correct
    Wrong
  • 4
    200 m
    Correct
    Wrong
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Answer : 3. "173 m"

Q:

If the angle of elevation of the sun changes from 30to 45o then length of the shadow of a pillar decreases by 20 meters. The height of the pillar is:

1261 0

  • 1
    $$ {20(\sqrt{3}-1)}\ meter$$
    Correct
    Wrong
  • 2
    $$ {20(\sqrt{3}+1)}\ meter$$
    Correct
    Wrong
  • 3
    $$ {10(\sqrt{3}-1)}\ meter$$
    Correct
    Wrong
  • 4
    $$ {10(\sqrt{3}+1)}\ meter$$
    Correct
    Wrong
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Answer : 4. "$$ {10(\sqrt{3}+1)}\ meter$$"

Q:

The angle of elevation of the top of a tree 220 metres high from two points lies on the same plane are 30° and 45°. What is the distance (in metres) between the two points?

1233 0

  • 1
    193.22
    Correct
    Wrong
  • 2
    161.05
    Correct
    Wrong
  • 3
    144.04
    Correct
    Wrong
  • 4
    176.12
    Correct
    Wrong
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Answer : 2. "161.05"

Q:

The distance between two parallel poles is 40√3 m. The angle of depression of the top of the second pole, when seen from the top of first pole, is 30 °. What will be the height of second tower if the first pole is 100m long? 

1224 0

  • 1
    35 √3
    Correct
    Wrong
  • 2
    60 m
    Correct
    Wrong
  • 3
    50 √3 m
    Correct
    Wrong
  • 4
    80 m
    Correct
    Wrong
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Answer : 2. "60 m "

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:-

1219 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:

If the angle of elevation of the Sun changes from 30 ° to 45 °, the length of the shadow of a pillar decreases by 20 meters. The height of the pillar is 

1213 0

  • 1
    10 ( √3-1 ) m
    Correct
    Wrong
  • 2
    1 ( √3 + 1 ) m
    Correct
    Wrong
  • 3
    20 ( √3-1) m
    Correct
    Wrong
  • 4
    20 (√3 + 1) m
    Correct
    Wrong
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Answer : 2. "1 ( √3 + 1 ) m"

Q:

A ladder rests against a wall at a height of 10 meters. If the ladder makes 30° along the ground. Find the distance from the wall of the foot of the ladder.

1202 0

  • 1
    $$ {10\over{\sqrt{3}}}$$
    Correct
    Wrong
  • 2
    $$ {20 \sqrt{3}}\over{3}$$
    Correct
    Wrong
  • 3
    $$ {10\sqrt{3}}$$
    Correct
    Wrong
  • 4
    $$ {20\sqrt{3}}$$
    Correct
    Wrong
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Answer : 3. "$$ {10\sqrt{3}}$$"

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