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Find the measure of angle Z
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5 votes
Find the measure of angle Z

Find the measure of angle Z-example-1
User SexyNerd
by
5.9k points

1 Answer

2 votes

Answer:

∠Z ≈ 12°

Explanation:

Using the Sine Rule in ΔXYZ


(x)/(sinx) =
(z)/(sinz), that is


(48)/(sin96) =
(10)/(sinz) ( cross- multiply )

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

sinZ =
(10sin96)/(48)

Z =
sin^(-1) (
(10sin96)/(48) ) ≈ 12°

User Arruda
by
5.8k points
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