Question Number 224337 by wongb1506 last updated on 04/Sep/25

Answered by BaliramKumar last updated on 04/Sep/25

$${cos}\left({A}=\mathrm{60}°\right)\:=\:\frac{\mathrm{5}^{\mathrm{2}} +\left({x}−\mathrm{6}\right)^{\mathrm{2}} −\mathrm{7}^{\mathrm{2}} }{\mathrm{2}×\mathrm{5}×\left({x}−\mathrm{6}\right)} \\ $$$${x}=\mathrm{14}\:\checkmark\:\:\:\:\:{or}\:\:\:\:\:\:\cancel{\mathrm{3}}\: \\ $$$$ \\ $$