Hello, john edgar!

Did you make a sketch?

I'll explain the first one. (The second one is exactly the same.)

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. Code:

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.