Last October marled the golden (50th) anniversary of the Gateway Arch. This monument, designed by the the Finnish American architect. Euro Saarinen. has many mathematical properties (most of which require calculus to enjoy). However, some can be appreciated with elementary geometry and trigonometry. The arch is inscribed inside a square with sides of length 630 feet. In square A BCD. the angle. EAD is the angle of elevation from point A to top of the arch at point E. The value of the tangent of EAD is Find the measure, to the nearest 0.01 degree, of Z EAD Triangles play a key role in the design of the Arch. Triangle AED is an isosceles triangle. Find the measurement, to the nearest 0.01 degree, of Z AED. Find the ratio of the area of triangle AED to the area of square A BCD. Express your answer as a simplified fraction. The area of triangle AED is % of the area of square ABCD. (This can be done without any calculations if you compare the areas of
