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 since ancient civilizations? Ancient Egyptians and Greeks employed triangle properties for construction, navigation, and astronomy. The Pythagorean theorem, which you'll likely use for calculating distances like in your flagpole problem, was famously developed by the Greek mathematician Pythagoras around 500 BC. This theorem remains one of the cornerstones of geometry today! When solving problems involving triangles, especially with heights and distances, a common mistake is forgetting to label all the parts clearly. Make sure to differentiate between the height of the triangle (the flagpole) and the hypotenuse (the line from Andrew's feet to the top). Drawing a sketch can help visualize the problem, making it much easier to apply the Pythagorean theorem correctly without any confusion!