# Trigonometry! #108

Geometry Level 2

The top of a broken tree has its top end touching the ground at a distance of $$15m$$ from the bottom. The angle made by the broken end with the ground is $$30^{\circ}$$. Then find the length of the broken part.

Express your answer in the form of $$a\sqrt{b}m$$, where $$a$$ and $$b$$ are coprime positive integers. Enter the value of $$a+b$$.

This problem is part of the set Trigonometry.

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