Quick pedigree drill: when a condition shows up in every generation, hits both sexes, and you can spot a father passing it to a son, you are looking at an autosomal dominant trait. X-linked is killed off by male-to-male transmission, and recessive patterns usually skip generations, so options (b), (c) and (d) all fall away.
The clinical picture seals it. A tall patient with an early diastolic murmur of aortic regurgitation is a textbook Marfan syndrome presentation, caused by a fibrillin-1 mutation. Marfan is a classic autosomal dominant connective tissue disorder: a single mutant allele is enough to produce disease because it disrupts a structural protein, and the phenotype varies widely between affected family members.
Therefore the inheritance is $AD$, option (a).