Henry walks out of his hall and proceeds to walk 160 feet due north. He then turns left (west) and walks 150 more feet. Finally, he turns 65 degrees left and walks 280 feet. How many feet is Henry from his starting point?

Answer 1

his final location, relative to the starting point is

(0,160) + (-150,0) + (-280cos65°,-280sin65°)

Add up all the pairs and then just use the distance formula.