a. The distance from Carlton to Dalton is 76.61 km
b. The distance from Baxter to Dalton if you take the freeway is 145.61 km
Calculating Distance
From the question, we are to determine how far it is from Carlton(C) to Dalton(D)
From the given information,
The total distance from Abbott(A) to Dalton(D) is 233 km
Distance from C to D = Distance from A to D - Distance from A to C
Distance from A to C = 76.59 km + 79.8 km
Distance from A to C = 156.39 km
∴ Distance from C to D = 233 km - 156.39 km
Distance from C to D = 76.61 km
Hence, the distance from Carlton to Dalton is 76.61 km
b.
We are to determine the distance from Baxter(B) to Dalton(D) if you take the freeway
Taking the normal route,
Distance from B to D = 79.8 km + 76.61 km
Distance from B to D = 156.41 km
Now, from the given information,
The new freeway shortens the distance by 10.8 km
Thus,
The distance from Baxter(B) to Dalton(D) if you take the freeway
= 156.41 km - 10.8 km
= 145.61 km
Hence, the distance from Baxter to Dalton if you take the freeway is 145.61 km
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