Question

75. Starting at the island of Moi in an unknown archipelago, a fishing boat makes a round trip with two stops at the islands of Noi and Poi. It sails from Moi for 4.76 nautical miles (nmi) in a direction 37° north of east to Noi. From Noi, it sails 69° west of north to Poi. On its return leg from Poi, it sails 28° east of south. What distance does the boat sail between Noi and Poi? What distance does it sail between Moi and Poi? Express your answer both in nautical miles and in kilometers. Note: 1

Answer 1

Travel A B (WA 21 a ABC law Now, in Using sine Аз вс sin 4 sin8 - - CA 819 sin 58 632 37° MOI LA) ABZ 4,76 nmi so BC = a = 7.166 nmi ABsin8 sin 41 4.76 sin 8 siny CA = AB sin58 4.76 sinso 6.153 nmi sinu fint . Inmi = 1.852 km. Ristana bw Noi & Poi = BC = 7.166 nmi = 13,271 km So Distance byw Poi & Mol, = Az b. 153 nmi a 11.395 km