Final answer:
The British outflanked the Americans at Brooklyn by using strategy and deception, catching them between their forces and cutting them off from their main army. The British trapped the Americans at Brooklyn Heights, making it difficult for them to escape or defend their position.
Step-by-step explanation:
The British outflanked the Americans at Brooklyn by using strategy and deception. They maneuvered their forces to make it seem like the main British force was approaching from the front, while General Howe led the majority of troops through the Jamaica Pass to flank the Americans. By catching the Americans between their forces, the British cut them off from the rest of their army and forced them to retreat to Brooklyn Heights.
Brooklyn Heights provided a defensive advantage due to its height, making it difficult to attack. However, it also posed a challenge for the Americans to escape. Howe's troops extended their lines to cut off Brooklyn Heights by land, while the British Navy under Admiral Howe blocked any escape by water.
Overall, the British strategy of outflanking the Americans and trapping them at Brooklyn Heights was successful in gaining an advantageous position in the Battle of Brooklyn.