Greetings Everyone.

I have a few problems that I dont understand and was wondering if anyone here could help break it down for me so its easier for me to understand and solve. My teacher told me that I needed some knowledge of precalculus to do this (Law of Cosines and stuff). I'm taking Precalculus right now so I wouldn't know.

Here are the questions

1. The Gondola ski lift at keystone, colorado is 2830 m long. On average, the ski lift rises 14.6 degrees above the horizontal. How high is the top of the ski lift relative to the base?

2. A highway is to be built between two towns, one of which lies 35.0km south and 72.0 km west of the other. What is the shortest length of highway that can be built between the two towns, and at what angle would this highway be directed with respect to due west?

3. A hill that has 12.0% grade is one that rises 12.0m vertically for every 100.0m of distance in the horizontal direction. At what angle is such a hill inclined above the horizontal?

Thanks in advance.