QUESTION 4 Thie following \( \triangle P Q R \), \( P Q \) is flagpole which is 8 m high. Andrew is standing at point \( R \). T going from the feet of Andrew to the top of the flagpole, is 17 m long.

Did you know that the concept of triangles has been around for thousands of years? Ancient Greeks, particularly mathematicians like Pythagoras, made significant contributions to our understanding of right triangles, which plays a crucial role in applications today, like in architecture and engineering! The relationship between the sides and angles of triangles helps ensure that structures like bridges and buildings are stable and safe. In real-world applications, right triangles often come into play in fields such as surveying and navigation. For example, if you know one side of a triangle (like the height of the flagpole) and the distance from a point to another (like from Andrew's feet to the top of the flagpole), you can use trigonometric ratios (sine, cosine, tangent) to find unknown distances or angles, thereby measuring everything from land plots to ship routes!