📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      A tree breaks due to storm and the broken part bends, so

      that the top of the tree touches the ground making an angle of 30° with the ground. The distance between the foot of the tree to the point where the top touches the ground is 12 m. Find the height of the tree (in metres)
      A 36√3 m Correct Answer Incorrect Answer
      B 12√3 m Correct Answer Incorrect Answer
      C 12 m Correct Answer Incorrect Answer
      D 16√3 m Correct Answer Incorrect Answer

      Solution

      BC = 12 m Height of the tree = AB + AC Tan 30° = AB/12 ⇒ (1/√3) = AB/12 ⇒ AB = (12/√3) Cos 30° = BC/AC = 12/AC ⇒  √3/2 = 12/AC ⇒ AC = 24/√3 Hence, AB + AC = 12/√3 + 24/√3 = 36/√3 ⇒ 36/√3 × √3/√3 (rationalizing to remove root from denominator) ⇒ 36√3/3 = 12√3 ∴ Height of the tree = 12√3 m

      Practice Next
      More Height and Distance Questions

      Relevant for Exams:

      ask-question