Trig Word Problem

[sweetdelirium]

I can't figure out for the life of me how to draw the picture for this problem. Can someone help me please?

An airplane flew 390 miles at a bearing of N62E from airport A to airport B. The pilot then flew at a bearing from S16E to airport C. Find the distance from A to C if the bearing from airport A to airport C is S42E.

 

[fasteddie65]

I can't figure out for the life of me how to draw the picture for this problem. Can someone help me please?

An airplane flew 390 miles at a bearing of N62E from airport A to airport B. The pilot then flew at a bearing from S16E to airport C. Find the distance from A to C if the bearing from airport A to airport C is S42E.

There is no distance given from airport B to airport C, nor from airport A to airport C.
However, I would start by drawing a vector at a direction of 62° east from north with a magnitude of 390 from A to B. Then, at a direction of 16° east of south from B to C, and at a direction 42° north of east from A to C.

 

[wjm11]

An airplane flew 390 miles at a bearing of N62E from airport A to airport B. The pilot then flew at a bearing from S16E to airport C. Find the distance from A to C if the bearing from airport A to airport C is S42E.

“An airplane flew 390 miles at a bearing of N62E from airport A to airport B.”
Segment 1: On an xy graph, draw a line segment from the origin (point A) into the first quadrant, forming an angle of 62 degrees with the y-axis. The segment must be 390 units long.

“The pilot then flew at a bearing from S16E to airport C.”
Segment 2: From the endpoint of the segment in the first quadrant (point B), draw a dotted line straight down into the fourth quadrant. From the same segment endpoint draw another segment, down and to the right, forming a 16 degree angle with your dotted line. We don’t know yet how long it will need to be, so make it fairly long.

“…the bearing from airport A to airport C is S42E.”
Segment 3: Starting at the origin, draw a line down into the fourth quadrant, forming an angle of 42 degrees with the negative part of the y-axis. Make the line long enough to intersect Segment 2. The intersection is point C.