Answer:
YZ = 13.96
m∡Z = 52°
m∡Y = 38°
Explanation:
found YZ first by using Pythagorean Theorem:
11² + 8.6² = YZ²
YZ² = 194.56
YZ = √194.56
YZ = 13.96
Used Law of Sines to find m∡Z:
sin 90°/13.96 = sin Z/11
sin Z = 11/13.96
arcsin Z = 52°
180 - (90 + 52) = m∡Y
m∡Y = 38°