7. A carpenter needs to measure the length of the beams that will support a roof. The building is 50 feet wide. The roof will rise at an angle of 30° from the top of the walls. The peak of the roof
is 14.43 feet above the top of the walls. The side adjacent to the 30° angle is half the width of
the building. How long is each supporting beam, b, to the nearest thousandth? Add 2 feet to the
beam length so that the roof can extend 2 feet past the walls. What is the cosine of 30°?