A ship at sea, the Gladstone, spots two other ships, the Norman and the Voyager, and measures the angle between them to be 38°. The distance between the Gladstone and the Norman is 2640 yards. The Norman measures an angle of 57° between the Gladstone and the Voyager. To the nearest yard, what is the distance between the Norman and the Voyager?

Answer:The distance between the Norman and the Voyager is 1,632 yardsStep-by-step explanation:LetC -----> the measure of the angle between the Norman and the Gladstonec ------> the distance between the Norman and the Gladstonea ----> the distance between the Norman and the VoyagerA----> the measure of the angle between the Norman and the Voyagerstep 1Find the measure of angle C Remember that the sum of the interior angles of a triangle must be equal to 180 degreesso38°+57°+C=180° 95°+C=180° C=180°-95°=85°step 2Find the distance between the Norman and the VoyagerApplying the law of sinesc/sin(C)=a/sin(A)we haveC=85°A=38°c=2,640 ydsubstitute and solve for a2,640/sin(85°)=a/sin(38°)a=2,640(sin(38°))/sin(85°)a=1,632 yd