Question

From the top of a cliff 50 m high, the angles of depression of the top and bottom of a tower are observed to be \(30^\circ\) and \(45^\circ\). The height of the tower is:

• A. \( 50\sqrt{3} \) m
• B. \( 50(\sqrt{3} - 1) \) m
• C. \( 50\left( 1 - \frac{\sqrt{3}}{3} \right) \) m
• D. 50(1 - √3/3) m

Hint:

Trigonometry is useful in solving real-world height and distance problems.