Distance between two cities
Mathematics

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The bearing from WinstonSalem, North Carolina, to Danville, Virginia, is N 42 degrees E. The bearing from Danville to Goldsboro, North Carolina, is S 48 degrees E. A car is driven by Mark Ferrari, traveling at 60 mph, it takes 1 hr to go from WinstonSalem to Danville and 1.8 to go from Danville to Goldsboro. Find the distance from WinstonSalem to Goldsboro.
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The bearing from WinstonSalem to Danville is N 42° E.
The bearing from Danville to Goldsboro is S 48° E.
Mark, driving at 60mph, takes one hour to go from WinstonSalem to Danville
and 1.8 hour to go from Danville to Goldsboro.
Find the distance from WinstonSalem to Goldsboro.
diagram on based on the given data:
N D : * : * : * : 60 *42°:48°* : * : * :42°* : * 108 : * : * W * : * : * : * : : * * : : * * : S * G
"The bearing from WinstonSalem to Danville is N 42° E."
. . / NWD = 42° . . . hence: / WDS = 42°.
"The bearing from Danville to Goldsboro is S 48° E."
. . / SDG = 48°.
"Mark, driving at 60mph, takes one hour to go from WinstonSalem to Danville"
. . WD = 60
"and 1.8 hour to go from Danville to Goldsboro."
. . DG = 108
Note that: ./ D .= .42° + 48° .= .90°
. . ∆ WDG is a right triangle!
Use the Pythagorean Theorem to determine WG.
WG^2 = WD^2 + DG^2
WG^2 = 60^2 + 108^2
WG^2 = 3600 + 1164
WG^2 = 15264
WG = 123.54
the distance from WinstonSalem to Goldsboro is 123.54 mph
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