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Can someone please help me with this math problem! thank you! :)

Can someone please help me with this math problem! thank you! :)-example-1

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9514 1404 393

Answer:

see attached

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

Can someone please help me with this math problem! thank you! :)-example-1
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