The Leaning Tower of Pisa used to lean more than it does today. In 1990, the tower made an angle of 84.5 degrees with the ground. Because of concerns that the tower might topple, nearby houses and apartments were evacuated. An engineering project that ended in 2003 reduced the tilt of the tower so it only makes an 86-degree angle with the ground. This adjustment should make the tower safe for another 200 years.
8. At the current 86-degree angle, the tower is precisely 56.67 m tall. Sketch a right triangle to illustrate this. Label the triangle with the given angle and height measurements.
9. Find the length of the hypotenuse of this triangle to the nearest hundredth of a meter. Show your work
10. Assume the engineering project did not change the length of the hypotenuse, since it runs along the side of the tower. Sketch a right triangle to illustrate the tower before the project. Label the triangle with the former angle measure and the length of the hypotenuse.
11. How much did the engineering project change the vertical height of the tower? Did the height increase or decrease? Explain how you found the amount of change. Give your answer in centimeters rounded to the nearest centimeter.