Multiple choice

The upper part of a tree broken over by the wind makes an angle of $60^{0}$ with the ground and touches the ground at a distance of 50 metres from the foot. The height of the tree in metres is

  1. $124.2$
  2. $186.6$
  3. $243.2$
  4. $164.2$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let x be the broken part (hypotenuse) and y be the standing part. tan(60) = y / 50 -> y = 50 * sqrt(3) = 86.6. cos(60) = 50 / x -> x = 50 / 0.5 = 100. Total height = x + y = 100 + 86.6 = 186.6.

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