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Mathematics in the eighth grade
First, understand the meaning of the golden section. Let point C be the golden section of line segment AB, then AC 2 = AB * BC, AB=L, AP=X, then we can list the equation, X 2 = L (L-X), and solve this quadratic equation with a variable to get X= (root number 5- 1)L/2, so the answer to the question is as follows.

1, AC= (radical number 5- 1)*80/2=40 (radical number 5- 1)cm. Similarly, BD=40 (radical number 5- 1), and CD = AC-BC-

2. The distance from point A to the top of the tower is about 468-468* (root number 5-1)/2m =178.8m..

3. If you want to wear Xcm high heels, then 102+X=( 168+X)* (radical number 5- 1)/2, X=4.8cm, about 5 cm high.

4,37 * (the radical number is 5- 1)/2, which is about 23 degrees.