Answer:
[tex]Total-displacement=T_d=331.0154354ft[/tex]
Explanation:
Look at the picture I attached you. It's easy to see that you only need to use cosine identity in order to find the displacement along the x-axis:
[tex]cos(\alpha )=\frac{adjacent}{hypotenuse}[/tex]
[tex]d_1=displacement-1=152ft[/tex]
[tex]d_2=displacement-2=d2_x=d2*cos(\alpha )=117*cos(32)=99.22162725ft[/tex]
[tex]d_3=displacement-3=d3_x=d3*cos(\beta )=117*cos(47)=79.79380813ft[/tex]
Finally:
[tex]T_d=d_1+d_2+d_3=152+99.22162725+79.79380813=331.0154354ft[/tex]
