Question

Given a right triangle, if `tan θ = (3)/(4)`, what is the length of the side adjacent to `/_ theta` ?

Answer 1

SOH CAH TOA tells you ...

... Tan(θ) = Opposite/Adjacent

You have ...

... Tan(θ) = (3)/(4)

Matching parts of the two expressions, we see ...

... Adjacent = (4)

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In the context of this problem we might reasonably assume that the adjacent side length is 4 units. In any other context, the best we might say is that it is 4/3 times the length of the opposite side.