1. you have a 20 foot long ladder that you want to lean against a vertical wall. you want the top of the ladder to touch the wall 19 feet off the ground. what angle will the ladder form with the ground?

2. using the same 20 foot ladder against the same vertical wall, you decide that it would be better if the ladder formed a 70 degree angle with the ground. how far up the wall will the top of the ladder reach?

3. you want to find the area of triangle bcd but all you have is the information provided in the image below. then you realize you can use the special right triangle (30-60-90) to find the height of the triangle. once you know the height and provided base measurement calculate the area.
what is the area of the triangle? show all steps.