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Real-Life Activities

Real-Life Math

You are working as a hand faller. You are out in the woods with a number of other fallers. Safety procedures require that you keep a safe distance between yourself and other fallers.

The distance depends upon the terrain. Fallers working in level terrain should stay a minimum of 2 tree lengths apart. If you don't know the exact tree length, you estimate it to be 300 feet. When the terrain is steep, you must increase this number.

The maximum distance that you should be from another faller is 1,000 feet. Proximity is important in case you need to offer help to someone in trouble. Therefore, if there were obstacles such as creeks or hills, the 1,000-foot distance would be too far.

Today, the crew is working on a block of land that is 2.5 acres. The terrain is almost ideal. Using a piece of equipment called a percent scale clinometer, you note that 1 tree is much taller than the tree nearest to it. The combined height of the 2 trees is 268 feet. One tree is 20 percent higher than the other tree.

Questions:

  1. What are the heights of the 2 trees?
  2. How far must you be from the nearest faller when you fell the 2 trees?

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