In \(\triangle\)ABC, ∠B = 87° and ∠C = 60°. Points D and E are on the sides AB and AC, respectively, such that ∠DEC = 93° and DE ∶ BC = 5 ∶ 9. If AB = 14.4 cm, then the length of AE is:

1
8.4 cm
2
9 cm
3
7.2 cm
4
8 cm

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