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To the nearest degree, what i’d the measure of angle Z?

A. 30
B. 32
C. 47
D. 49

To the nearest degree, what i’d the measure of angle Z? A. 30 B. 32 C. 47 D. 49-example-1
User Antoni
by
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1 Answer

6 votes

Answer:

C

Explanation:

Using the cosine rule

cosZ =
(7^2+8^2-6^2)/(2(7)(8)) =
(49+64-36)/(112) =
(77)/(112) , thus

Z =
cos^(-1) (
(77)/(112) ) ≈ 47° ( to the nearest degree ) → C

User Manoji Stack
by
4.5k points