Question

XYZ is a right triangle. If XY = 4, what is YZ?

A. 8
B. 8\sqrt{3}
C. 4\sqrt{3}
D. 16

Answer 1

The Answer is D. 16.
XZ = 8/sin 30

Answer 2

We are given

angle(Z)=30

Let's assume angle (Z) as reference angle

so, opposite=XY=4

adjacent=YZ

so, we can use tan formula

`tan(Z)=(XY)/(YZ)`

now, we can plug values

`tan(30)=(4)/(YZ)`

`YZ=(4)/(tan(30))`

`YZ=4√(3)`...............Answer