From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are $30^\circ$ and $45^\circ$. If the bridge is at a height of $30$ m from the banks, find the width of the river.

Options:

• A: $30(\sqrt{3} - 1)$ m
• B: $30(\sqrt{3} + 1)$ m
• C: $60$ m
• D: $15(\sqrt{3} + 1)$ m

Related Practice Questions:

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