2. A light, L, is located on a small island 4 km west of a point A on a straight north- south coastline. A power cable is to be laid from L to the nearest source of power at point B on the shoreline, 12 km north of point A. The cost of laying cable under water is $6000/km and the cost of laying cable along the shoreline is $2000/km. To minimize the cost, the power line will be built from L underwater to a point C to B. Find the location of point C (to the nearest meter) on the shore where the power cable should inter the water from point B, including a diagram.
2. A light, L, is located on a small island 4 km west of a point A on a straight north- south coastline. A power cable is to be laid from L to the nearest source of power at point B on the shoreline, 12 km north of point A. The cost of laying cable under water is $6000/km and the cost of laying cable along the shoreline is $2000/km. To minimize the cost, the power line will be built from L underwater to a point C to B. Find the location of point C (to the nearest meter) on the shore where the power cable should inter the water from point B, including a diagram.
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 42E: A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft...
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Transcribed Image Text:2. A light, L, is located on a small island 4 km west of a point A on a straight north-
south coastline. A power cable is to be laid from L to the nearest source of power at
point B on the shoreline, 12 km north of point A. The cost of laying cable under water is
$6000/km and the cost of laying cable along the shoreline is $2000/km. To minimize the
cost, the power line will be built from L underwater to a point C to B. Find the location of
point C (to the nearest meter) on the shore where the power cable should inter the
water from point B, including a diagram.
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