Question

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

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

Answer 1

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