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At 13:5, the ships formed into a line abreast formation 15 mi (13.0 nmi; 24.1 km) apart, with Glasgow at the eastern end, and started to steam north at 10 nautical miles (19 km; 12 mi) searching for Leipzig. At 16:17 Leipzig, accompanied by the other German ships, spotted smoke from the line of British ships. Spee ordered full speed so that Scharnhorst, Gneisenau and Leipzig were approaching the British at 20 nautical miles (37 km; 23 mi), with the slower light cruisers Dresden and Nürnberg some way behind.
At 16:20, Glasgow and Otranto saw smoke to the north and then three ships at a range of 12 mi (10.4 nmi; 19.3 km). The British reversed direction, so that both fleets were moving south, and a chase began which lasted 90 minutes. Cradock was faced with a choice; he could either take his three cruisers capable of 20 kn (23 mph; 37 km/h), abandon Otranto and run from the Germans, or stay and fight with Otranto, which could only manage 16 kn (18 mph; 30 km/h). The German ships slowed at a range of 15,000 yd (13,720 m) to reorganise themselves for best positions, and to await best visibility, when the British to their west would be outlined against the setting sun. At 17:10, Cradock decided he must fight, and drew his ships closer together. He changed course to south-east and attempted to close upon the German ships while the sun remained high. Spee declined to engage and turned his faster ships away, maintaining the distance between the forces which sailed roughly parallel at a distance of 14,000 yd (12,800 m). At 18:18, Cradock again attempted to close, steering directly towards the enemy, which once again turned away to a greater range of 18,000 yd (16,460 m). At 18:50, the sun set; Spee closed to 12,000 yd (10,970 m) and commenced firing.
The German ships had sixteen 21 cm (8 in) guns of comparable range to the two 9.2 in (234 mm) guns on Good Hope. One of these was hit within five minutes of the engagement's starting. Of the remaining 6 in (152 mm) guns on the British ships, most were in casemates along the sides of the ships, which continually flooded if the gun doors were opened to fire in heavy seas. The merchant cruiser Otranto—having only 4 in (100 mm) guns and being a much larger target than the other ships—retired west at full speed.
Since the British 6 in (152 mm) guns had insufficient range to match the German 21 cm (8 in) guns, Cradock attempted to close on the German ships. By 19:30, he had reached 6,000 yd (5,490 m) but as he closed, the German fire became correspondingly more accurate. Good Hope and Monmouth caught fire, presenting easy targets to the German gunners now that darkness had fallen, whereas the German ships had disappeared into the dark. Monmouth was first to be silenced. Good Hope continued firing, continuing to close on the German ships and receiving more and more fire. By 19:50, she had also ceased firing; subsequently her forward section exploded, then she broke apart and sank, with no-one witness to the sinking.
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