A twin$-$engine airplane is flying at $25,000$ ft altitude on the $50$ radial of VOR $1.$ After flying $80$ km from VOR $1($on the same $50$ radial$),$ the airplane begins a $20$ turn when it intercepts the $140$ radial of VOR $2.$ The distance

between VOR $1$ and VOR $2$ is $82\mathrm{.}462$ km$.$ How long will it take the airplane to intercept the $350$ radial of VOR $2?$

$($Maintaining a turn radius whose center is VOR $2).$ Also determine the lift coefficient during the turn and, considering that the fineness during the turn is equal to $13,$ obtain the traction produced by each engine and the Mach number at which the airplane is flying. The airplane has a mass equal to $2034\mathrm{.}2$ slugs and a wing area equal to $75\mathrm{.}2$ m$.$ DON'T USE ARTIFICIAL INTELLIGENCE TO SOLVE THEM