Use the law of sines to find the value of w.

Triangle U V W is shown. Angle V W U is 39 degrees and angle W U V is 31 degrees. The length of V W is 3.3 centimeters and the length of U V is w.

Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction

What is the best approximation of the value of w?

1.4 cm
4.0 cm
6.0 cm
7.3 cm

Option B: 4.0 cm is the value of w

Explanation:

It is given that , , and

Using the law of sines, we have,

Substituting the values, we have,

Cross multiplying, we get,

Simplifying, we have,

Dividing both sides by 0.515, we have,

Thus, the value of w is 4.0 cm

Hence, Option B is the correct answer.

i need the options

step-by-step explanation:

answer: 140

step-by-step explanation:

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