A 175-pound force and a 230-pound force are acting on the same point in directions that differ by 42°. What is the angle that the resultant makes with

Question

the 175-pound force?

Answer 1

complete the "parallelogram"
let the resultant have a magnitude of R

I see it as:
R^2 = 175^2 + 230^2 - 2(175)(230)cos138°
find R
label the angle the resultant makes with the 175 pound force be Ø

then by sine law:
sinØ/230 = sin 138°/R

find Ø

Answer 2

Just noticed that Steve did the same question using components

http://www.jiskha.com/display.cgi?id=1343845975

take your choice, both give 24° to the nearest degree.