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two towns A and B are 12.0 mi apart and are located 5.0 and 3.0 mi, respectively, from a long, straight highway.

A construction company has a crontract to build a road from A to the highway nad then to B. Analyze a model to determine the length to the nearest tenth of a mile of the shortest road that meets these requirements

Respuesta :

The solution to the problem is as follows:

d=AS+SB=AS+SB'=√(AB"²+B'B"²) 
AB"²=12²-2²=140
 
d=√(140+8²)=√204=14.283 miles

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