Truss Forces: Calculating F(AD) and F(AB) for Resolution of Forces

[chetzread]

1.)
from the calculation of F(AD), the force should point towards A,right? (red arrow)
but, in the calculation of F(AB), the (1/sqrt rt2)(48.08) should be positive,right? (which is pointing towards LEFT)?

2. Homework Equations

The Attempt at a Solution

this involve the resolution of forces into vertical and horizontal axes,am i right?

 

[billy_joule]

1.)
from the calculation of F(AD), the force should point towards A,right? (red arrow)
but, in the calculation of F(AB), the (1/sqrt rt2)(48.08) should be positive,right? (which is pointing towards LEFT)?

Positive X is rightward, as the equation H_A -28 = 0 defined at the start of the solution.
Member AD was found to be in compression and so exerts a leftward force at joint A, so the term 1/(√2)(48.08) is negative.