The bearing from Winston-Salem, 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 Winston-Salem to Danville and 1.8 to go from Danville to Goldsboro. Find the distance from Winston-Salem to Goldsboro.

Thank you for the opportunity to help you with your question!

The bearing from Winston-Salem 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 Winston-Salem to Danville
and 1.8 hour to go from Danville to Goldsboro.
Find the distance from Winston-Salem to Goldsboro.

diagram on based on the given data:

N D
: *
: * : *
: 60 *42°:48°*
: * : *
:42°* : * 108
: * : *
W * : *
: * : *
: : * *
: : * *
: S * G

"The bearing from Winston-Salem 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 Winston-Salem 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 Winston-Salem to Goldsboro is 123.54 mph

Please let me know if you need any clarification. I'm always happy to answer your questions.

Jun 14th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.