Height and Distance Questions Practice Question and Answer

  • Show AnswerHide Answer
  • Workspace

Answer : 4. "12 m "

Q:

If the angle of elevation of a balloon from two consecutive kilometer-stones along a road are 30° and 60° respectively, then the height of the balloon above the ground will be 

680 0

  • 1
    $$ √3\over 2 km $$
    Correct
    Wrong
  • 2
    $$ 1\over 2 km $$
    Correct
    Wrong
  • 3
    $$ 2\over √3$$
    Correct
    Wrong
  • 4
    3√3
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 1. "$$ √3\over 2 km $$ "

  • Show AnswerHide Answer
  • Workspace

Answer : 3. "40 m"

Q:

The angle of elevation of the top of two vertical towers as seen from the middle point of the line joining the foot of the towers are 60° and 30°, respectively. The ratio of the heights of the tower is

755 0

  • 1
    2 : 1
    Correct
    Wrong
  • 2
    √3 : 1
    Correct
    Wrong
  • 3
    3 : 2
    Correct
    Wrong
  • 4
    3 : 1
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 4. "3 : 1"

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 

735 0

  • 1
    72 m
    Correct
    Wrong
  • 2
    60 m
    Correct
    Wrong
  • 3
    65 m
    Correct
    Wrong
  • 4
    70 m
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "60 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

682 0

  • 1
    125√3
    Correct
    Wrong
  • 2
    125(√3-1)
    Correct
    Wrong
  • 3
    125/(√3-1)
    Correct
    Wrong
  • 4
    125/(√3+1)
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "125(√3-1) "

Q:

A man standing on the bank of river observes that the angle subtended by a tree on the opposite bank is 60°. When he retrieves 36 m from the bank, he find that the angle is 30°. The breadth of the river is

768 0

  • 1
    15 m
    Correct
    Wrong
  • 2
    18 m
    Correct
    Wrong
  • 3
    16 m
    Correct
    Wrong
  • 4
    11 m
    Correct
    Wrong
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "18 m"

Q:

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

810 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
  • Show AnswerHide Answer
  • Workspace

Answer : 2. "$$ 50\over √3$$ m"

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully

      Report Error

    Please Enter Message
    Error Reported Successfully