7. A pole vault standard (pictured to the right) casts a shadow 66 inches long. You are 6 feet tall and cast a shadow 40 inches long. Find the height of the pole vault standard in inches. Round your a?

To find the height of the pole vault standard, we can use the concept of similar triangles. If you are 6 feet tall (72 inches) and cast a shadow of 40 inches, we can set up a proportion: ( \frac{72 \text{ inches}}{40 \text{ inches}} = \frac{h}{66 \text{ inches}} ), where ( h ) is the height of the pole vault standard. Solving for ( h ), we get ( h = \frac{72 \times 66}{40} = 118.8 ) inches. Rounding this gives a height of approximately 119 inches.