An airplane flies 165 miles from point A in the direction 13

An airplane flies 165 miles from point A in the direction 130 degree and then travels in the direction 245 degree for 65 miles. Approximately how far is the airplane from A? The choices have been rounded to the nearest integer. 156 mi 147 mi 148 mi 150 mi

Solution

Distance would be :x= ( 165x165+65x65-3x65x165xcos(65))^0.5

= (22384.4 )^0.5 = 149.6147 = 150 miles