Sketch each issue presented then solve the problem.

1. Ted owns a dog training facility and wants to build a ramp for the dogs to run up the platform. Ted wants the ramp to rise vertically 10 cm for every 30 cm in horizontal length. He has drawn that model on paper. (Do the same). The height of the actual platform is 180 cm. How much horizontal space will he need and what will be the length of the ramp? Sketch the project as two similar triangles. Solve the problem.

2. If a triangle ABC with lengths of each side, a,b,c, has a perimeter of 12 units and has a scale factor or 1:3 with triangle RST, sketch triangle RST, labeling the length of the sides, and find the perimeter of triangle RST.

3. The top of a 30-foot ladder touches the sides of a vertical building at 25 feet above the ground. A 12-foot ladder is placed against a tree at the same angle. How far up the tree does the 12-foot ladder reach?

4. A tree casts a 25-foot shadow at the same time as a 3-foot child casts a 10-foot shadow. Find the height of the tree.

5. Most TV screens have similar shapes. The measure of the diagonal is used to give the screen size. Suppose an 18-inch TV has dimensions of 11 inches by 15 inches. Find the dimensions of a similarly shaped 35-inch TV.

6. The Jones family planted a tree when their son was born. Now, when their son is 20 feet from the tree, the tip of his shadow rests exactly on the tip of the shadow of the tree. If the son is 6 feet tall and throws a 9-foot shadow, how tall is the tree?