THEN SEND ME THE CORRECT CALCULATION NOW WITH TRIANGLE DRAWING PART C: THINKING

$5.$ A three$-$part race consists of swimming, climbing, and zip lining. You begin at point $\backslash ($ A $\backslash ).$ The finish is at point $\backslash ($ D $\backslash ),$ which is $200$ m from point $\backslash ($ A $\backslash )$ in a direction $\backslash (75^\{\backslash$circ$\}\backslash )$ west of north. The first leg of the race is a $400$ m swim D island $\backslash ($ B $\backslash )$ due west of $\backslash ($ A $\backslash ).$ The second leg is a climb up a vertical cliff to point $\backslash ($ C $\backslash ).$ Point $\backslash ($ C $\backslash )$ has an swim to an islation of $\backslash (10^\{\backslash$circ$\}\backslash ),$ as seen from point $\backslash ($ A $\backslash ).$ The third leg of the race is a zip down a zipline from angle of elevation of $\backslash (10^\{\backslash$circ$\}\backslash ),$ as seen from powim at the third leg of the race is a zip and zip at $\backslash (20\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ How long does it take you to complete the race?