Question

Consider this right triangle.

X
36
Z
45
Y
Enter the measure of ZY, to the nearest degree.

Answer 1

∠ Y ≈ 39°

Explanation:

using the tangent ratio in the right triangle

tanY =
`(opposite)/(adjacent)` =
`(XZ)/(YZ)` =
`(36)/(45)` =
`(4)/(5)` , then

∠ Y =
`tan^(-1)` (
`(4)/(5)` ) ≈ 39° ( to the nearest degree )