A tree gets broken at a point due to a storm and its top touches the ground at a distance 30 m from the base of the tree with an angle 30° with the gound. What is the height of the tree?
Answer & explanation
Correct answer: option 4
AB = Tan 30° × BC
AB = \(\frac{1}{\sqrt {3}}\) × 30 = 10 \(\sqrt {3}\)
AC = \(\frac{AB}{Sin\;30°}\) = \(\frac{10\sqrt {3}}{\frac{1}{2}}\)= 20\(\sqrt {3}\)
Height of the tree = AB + AC = 10\(\sqrt {3}\) + 20\(\sqrt {3}\) = 30\(\sqrt {3}\)