a) 12 cm
b) 8 cm
c) 9.5 cm
d) 7.5 cm
Answer: b
Explanation: Let the tree break at height h cm from ground at point M.
The broken part makes angle of 30°
Broken Part MP = MN = 24 – h
$$\eqalign{
& {\text{in}}\,\Delta MCQ, \cr
& \sin {30^ \circ } = \frac{1}{2} = \frac{{MQ}}{{MN}} = \frac{{\text{h}}}{{24 – {\text{h}}}} \cr
& 24 – {\text{h}} = 2{\text{h}} \cr} $$
h = 8 cm = Tree breaks at this height
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