Billy is hiking in Colorado. He walks eastward four miles, then turns 60 degrees northward and walks six miles and then he walks another 2 miles in the east direction. How far is he from his starting point?

He will be 4 + 6 cos 60 + 2 east and 6 sin 60 north use pythagoran theorem with those values to calculate the 'hypotenuse' distance from his starting point ......