Respuesta :

ASimpleEngineer

Answer:

v = 10.997

Step-by-step explanation:

For this, simply use the law of cosines.

v^2 = (16)^2 + (6)^2 - 2(16)(6)cos(27)

v^2 = 256 + 36 - 171.073

v^2 = 120.927

v = 10.997

Cheers.

NoblePenguin

Answer:

[tex]\boxed{11}[/tex] units

Step-by-step explanation:

To solve the length of UW, you can use the Law of Cosines for a SAS case:

[tex]\boxed{v^2=\sqrt{u^2+w^2-2(uw)cos(V)} }[/tex]

Substitute the values and solve with a calculator:

[tex]\boxed{\sqrt{16^2+6^2-2(16*6)cos(27)} = 10.99666983 \approxeq 11}[/tex]

The length of UW is 11 units.

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