What Are the Tensions in the Two Cables at Point C?

[Deathfish]

Homework Statement

2 cables are tied together at C as shown. Determine the tension in AC and BC.
(ans: 120.1N, 156.3N)

Homework Equations

The Attempt at a Solution

tan-1 4/5 = 38.66
tan-1 4/3 = 53.13

100/tan 38.66 = ACx
ACx = 124.99

AC = sqrt(124.99^2 + 100^2)
AC = 160 (wrong)

 

[rl.bhat]

If T1 is the tension in AC and T2 that of BC, then x-components of T1 and T2 cancel each other. Hence

T1*cos(38.66) = T2*cos(53.13) ...(1)

Similarly y-components of tensions add up to 200 N.

Solve the two equations and find T1.