Question

From the top of a 50 m tall building, the angles of depression to two points on the ground are \( 45^\circ \) and \( 30^\circ \). Find the distance between the two points.

• A. \( 20(\sqrt{3} - 1) \, \text{m} \)
• B. \( 25(\sqrt{3} - 1) \, \text{m} \)
• C. \( 30(\sqrt{3} - 1) \, \text{m} \)
• D. \( 50(\sqrt{3} - 1) \, \text{m} \)

Hint:

\textbf{Key Fact:} Use tangent of the angle of depression to find horizontal distances from the height.