2
answers
3
watching
1,003
views
13 Nov 2019
. The summer of 2000 was devastating for forests in the western US: over 3.5 million acres of trees were lost to fires, making this the worst fire season in 30 years. This question examines a fire management technique called firebreaks, which reduce the damage done by forest fires. A firebreak is a strip where trees have been removed in a forest so that a fire started on one side of the strip will not spread to the other side. Having many firebreaks helps confine a fire to a small area. On the other hand, having too many firebreaks involves removing large swaths of trees. A forest in the shape of a 50 km by 50 km square has firebreaks in rectangular strips 50 km by 0.01 km. The trees between two firebreaks are alled a stand of trees. All firebreaks in this forest are parallel to each other and to one edge of the forest, with the first firebreak the edge of the forest. The firebreaks are evenly spaced throughout the forest. (For example, the figure below shows four firebreaks.) The total area lost in the case of a fire is the area of the stand of trees in which the fire started, plus the area of all the firebreaks. at Stands of trees 50 km Firebreaks 50 km Find the number of firebreaks n that minimizes the total area lost in the case of a fire. Page 1
. The summer of 2000 was devastating for forests in the western US: over 3.5 million acres of trees were lost to fires, making this the worst fire season in 30 years. This question examines a fire management technique called firebreaks, which reduce the damage done by forest fires. A firebreak is a strip where trees have been removed in a forest so that a fire started on one side of the strip will not spread to the other side. Having many firebreaks helps confine a fire to a small area. On the other hand, having too many firebreaks involves removing large swaths of trees. A forest in the shape of a 50 km by 50 km square has firebreaks in rectangular strips 50 km by 0.01 km. The trees between two firebreaks are alled a stand of trees. All firebreaks in this forest are parallel to each other and to one edge of the forest, with the first firebreak the edge of the forest. The firebreaks are evenly spaced throughout the forest. (For example, the figure below shows four firebreaks.) The total area lost in the case of a fire is the area of the stand of trees in which the fire started, plus the area of all the firebreaks. at Stands of trees 50 km Firebreaks 50 km Find the number of firebreaks n that minimizes the total area lost in the case of a fire. Page 1
28 Jun 2023
Deanna HettingerLv2
22 Apr 2019
Already have an account? Log in