Part A

Part B

Part C

As shown, a system of cables suspends a crate weighing $W=460lb.($Figure $3)$ The dimensions

in the figure are as follows: $h=20\mathrm{.}1ft,l=4\mathrm{.}80ft,x=8\mathrm{.}30ft,=38\mathrm{.}0,$ and $=18\mathrm{.}0.$

Determine $T_A,T_D,$ and $T_E,$ the tensions in cable segments $CA,CD,$ and $CE,$ respectively.

Express your answers numerically in pounds to three significant figures separated by

commas.