Study the road plan shown in the figure. A service station will be built on the highway, and a road will connect it with Cray. How long will the new road be? A.54.2 mi B. 312 mi C. 46.2 mi D.400 mi

Respuesta :

The length of the road that connects the service station with Cray is 46.2 mi.

How long will the new road be?

We need to apply the principle of similar triangles to obtain the length of the road that will connect the service station with Cray as shown in the image attached.

Hence;

The distance between Alba and Blare = 130 mi

The distance between Alba and Cray = 120 mi

Road connecting the service station with Cray =x

And;

120/130 = x/50

x =  46.2 mi

Learn more about similar triangles:https://brainly.com/question/12100952

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