There are an estimated 850 lighthouses in the united state. the tallest is located in cape hatteras, north carolina. it is 27 feet taller than the one located in cape lookout, north carolina. the height of the cape lookout lighthouse is 169 feet. what is the height of the cape hatteras lighthouse?

The pyraminx is a rubik's cube-type toy in the shape of a tetrahedron. the pyraminx shown below has edges 15\,\text{cm}15cm long and vertical height h=12.2\,\text{cm}h=12.2cm. the triangle drawn with dashed lines is a right triangle. what is the distance rr? round your answer to the nearest tenth.