Answer:
4.884 units, 14.183 units
Explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between sides and hypotenuse:
... Sin = Opposite/Hypotenuse
... Cos = Adjacent/Hypotenuse
Then the Opposite and Adjacent sides can be found by multiplying the sine and cosine of the angle by the length of the hypotenuse.
... short side = 15 · sin(19°) ≈ 4.884 units
... long side = 15 · cos(19°) ≈ 14.183 units