Find the magnitude of the two forces, which add up to the total forces of 50N?

Question

i can't get it correct it wont equal to 50N. On my solution Y = 28.67 and X = 25. To sum that up it equals to 53

Here's the graph of it.

Answer 1

$$ \vec{F_T} = \vec{F_1} + \vec{F_2} = - F_1 \vec{y} - F_2 \vec{x} $$

$$ ||\vec{F_T}||^2 = F_1^2 + F_2^2 = 50^2 ... (i) $$

$$ \frac{F_1}{F_2} = \tan(35°) ...(ii) \to F_2^2(1+\tan^2(35°)) = 50^2 $$

$$ F_2 = 50 \cos(35°)\approx 40.957... $$ $$ F_1 = 50 \sin (35°) \approx 28.678 $$