Question

Find mZY.

42-/3
N
Y
O
84
Х
mZY =
Submit
Please help

Answer 1

`m\angle Y=30^(\circ)`

Explanation:

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

`\cos Y=(42√(3))/(84),\\Y=\arccos((42√(3))/(84))=\boxed{30^(\circ)}`