To solve the problem we must know about Sine Rule.
<h3>What is Sine rule?</h3>The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,
where
- Sin A is the angle and α is the length of the side of the triangle opposite to angle A,
- Sin B is the angle and β is the length of the side of the triangle opposite to angle B,
- Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.
The value of w is 4.0 cm.
Given to us
- VW = 3.3 cm,
- ∠U = 31°,
- ∠W = 39°,
Substitute the values,
w = 4.03224 cm ≈ 4.0 cm
Hence, the value of w is 4.0 cm.
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