7. Review 1

1. Write a function f1 to create a random number between 10 and 50.

2. Write a function tree to make a tree given a radius and a height. We measure the height of the tree to the center of the circle, not the very top. The width of the trunk should be the same as the radius. Shown below is (tree 90 220).

   Force the trunk to be at least twice the radius, so (tree 90 20) should produce the same image as (tree 90 180).

   

Challenging but reasonable

1. (rq1) Write a function that takes in one input n and gives random numbers between 100 and 1000. The first possible random number is 100, and after that increase 100 by multiples of n. Example: When n is 500, the only possible results are 100 and 600. When n is 7, the first possible number past 100 is 107.

2. The Golden Ratio is $(1 + \sqrt{5})/2$. Rectangles whose sides are in the golden ratio have been considered aesthetically pleasing since Greek times, and are called “golden rectangles”. Make a function that generates a random golden rectangles with one side between 100 and 300 pixels long.