The diagram shows a rectangular plot QRST on a horizontal land. PTis a vertical pole, \( R S=21 \mathrm{~m}, S T=16 \mathrm{~m} \) and \( P\left(T=23^{\circ}\right. \).

Did you know that the concept of using rectangular plots for land surveying has a rich history? In ancient civilizations, such as the Egyptians, they used a method called "rope stretchers" to create right angles, ensuring their fields were laid out properly for agricultural use. This technique has evolved into the precise land surveying we utilize today, combining mathematics and technology to accurately demarcate plots! In real-world applications, understanding how to calculate areas and angles in rectangular plots is crucial for everything from architecture to agriculture! For instance, knowing that the area of your plot can be calculated simply by multiplying the length (21 m) by the width (16 m) helps farmers gauge how much crop they can plant or determine the materials needed for construction. Plus, having a pole at a specific angle can aid in determining the height of buildings or trees nearby!