📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

  • google app store apple app store
  • ✖

      Question

      The angle of depression of a point on the ground as seen

      from the top of a tower, 65 feet high, is 45°. Find the distance of the point on the ground from the foot of the tower.
      A 65/√3 feet Correct Answer Incorrect Answer
      B 65√3 feet Correct Answer Incorrect Answer
      C 65 feet Correct Answer Incorrect Answer
      D 65√2 feet Correct Answer Incorrect Answer

      Solution

      Let θ be the angle of depression of the point on the ground as seen from the top of a tower, here θ = 45° Let AC be the height of the tower, here AC = 65 feet. Let the distance of the point on the ground from the foot of the tower, AB = x feet. Here, tan θ = AC/AB ⇒ tan 45° = 65/x ⇒ 1 = 65/x ⇒ x = 65 feet

      Practice Next
      ask-question