In \(\bigtriangleup\)XYZ, determine the cosine of angle Z.
Attached Figure / Diagram
A
\(\frac{3}{39}\)
B
\(\frac{29}{36}\)
C
\(\frac{14}{5}\)
D
\(\frac{7}{5}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
cos z = \(\frac{y^2 + x^2 -z^2}{2yx}\)
= \(\frac{9 + 36 - 16}{2(3)(6)}\)
= \(\frac{29}{36}\)
Source: Myschool Past Questions Archive (Record #32859)