9000036107

There are three information panels $A$, $B$ and $C$ in the park. The direct distance between $B$ and $C$ is $150\mathrm{m}$. The visual angle of this distance from the panel $A$ is ${55}^{\circ }$. The visual angle of the distance $AC$ from the panel $B$ is ${39}^{\circ }$. Find the direct distance between the panels $A$ and $B$ and round your answer to nearest meters.