Assignment:
A 30-foot ladder is leaning up against a roof that is 20 feet above the ground. How far from the building is the foot of the ladder? What is the angle between the ladder and the ground?
A few words on syntax when dealing with trigonometry: We will use upper-case letters for the functions, and enclose the argument in ( ). Use "pi" for the constant pi, and "theta" for the angle theta. Use DEG instead of the degree symbol. Examples: SIN(x), ARCTAN(2pi/3), 0 DEG <= theta <= 360 DEG.
Provide complete and step by step solution for the question and show calculations and use formulas.