Answer:
488.6 cm
Explanation:
You want the length of side w in ∆VWX, given x = 260 cm, V = 80°, W = 70°.
Law of sines
The law of sines tells us ...
w/sin(W) = x/sin(X)
The measure of angle X is found from ...
X = 180° -V -W = 180° -80° -70° = 30°
Solving for w, we have ...
w = x·sin(W)/sin(X)
w = (260 cm)·sin(70°)/sin(30°) ≈ 488.6 cm
The length of w is about 488.6 cm.
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Additional comment
The second attachment shows the complete triangle solution.
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