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Aleksandr-060686 [28]
4 years ago
8

Find the measure of angle Z

Mathematics
1 answer:
ira [324]4 years ago
8 0

Answer:

∠Z ≈ 12°

Step-by-step explanation:

Using the Sine Rule in ΔXYZ

\frac{x}{sinx} = \frac{z}{sinz}, that is

\frac{48}{sin96} = \frac{10}{sinz} ( cross- multiply )

48 × sinZ = 10 × sin96° ( divide both sides by 48 )

sinZ = \frac{10sin96}{48}

Z = sin^{-1} ( \frac{10sin96}{48} ) ≈ 12°

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vagabundo [1.1K]

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