Question

To the nearest degree, what i’d the measure of angle Z? A. 30 B. 32 C. 47 D. 49

Answer 1

Answer:

C

Step-by-step explanation:

Using the cosine rule

cosZ = $\frac{7^2+8^2-6^2}{2(7)(8)}$ = $\frac{49+64-36}{112}$ = $\frac{77}{112}$ , thus

Z = $cos^{-1}$ ($\frac{77}{112}$ ) ≈ 47° ( to the nearest degree ) → C