9514 1404 393
Answer:
see attached
Step-by-step explanation:
The sides marked on the triangle are adjacent to and opposite the given angle. The mnemonic SOH CAH TOA is intended to remind you which trig functions relate which sides. The one applicable here is TOA:
Tan = Opposite/Adjacent
Using the values on the diagram, we have ...
tan(65°) = 18/y
Multiplying by y/tan(65°) gives ...
y = 18/tan(65°)
y ≈ 8.3935 ≈ 8.4
