1. A 4-foot tall fence post casts a 3-foot shadow. At the same time, a nearby tree casts a 21-foot shadow. The height of the tree is ___ feet.
2. To find the width of a pond, a surveyor sets up similar triangles. A side on the large triangle is 60 m and its corresponding side on the small triangle is 15 m. If the small triangle's base is 8 m, what is the pond's width?
3. A fire hydrant that is 80 cm tall casts a shadow 1.2 m long. At the same time, a telephone pole casts a 9 m shadow. The height of the telephone pole is ___ meters.
4. A building of height $H$ casts a shadow of length $S$. A person of height $h$ casts a shadow of length $s$. Which proportion correctly finds the building's height $H$?
5. You place a mirror 20 feet from a statue. You back away 4 feet from the mirror and see the statue's top. If your eyes are 6 feet high, the statue's height is ___ feet.
6. Solve the proportion for the variable x: $$\frac{x}{5} = \frac{12}{30}$$ The value of x is ___.
7. Solve the proportion for the variable y: $$\frac{8}{y} = \frac{24}{15}$$ The value of y is ___.
8. Which equation is the correct first step when using cross products to solve the proportion $$\frac{4}{9} = \frac{p}{36}$$?
9. Solve the proportion for z: $$\frac{z - 1}{3} = \frac{14}{6}$$ The value of z is ___.
10. Solve the proportion for the variable m: $$\frac{5}{m} = \frac{15}{21}$$