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what is the exact formula for letter a and b ??

Let me rephrase. The boy's x-component force imparted on the box must equal said value.

JamesJ help me with your knowledge of typing equations on this site, lol.

ok, then ?

keep going. i think i might get it

That will give you the answer to part a.

The y component of the boy's pull.

\[ N_{modified} = N_{unmodified} - F\sin(30) \]

Yes, that.

Hence \[ F_f = -\mu_{static}N_{modified} = -\mu_{static}(mg - F\sin(30)) \]
Now solve for F.

ok thank you. i get it now.