Question

In ΔXYZ, right angle is at Y, YZ = x, and XY = 2x then determine ∠YXZ and ∠YZX.

Answer 1

From the data given ,

In ∆XYZ ,

<Y = 90°

YZ = x ,

XY = 2x

i ) Tan <YXZ = YZ/XY

= x/2x

tan <YXZ = 1/2

<YXZ = tan^-1 ( 1/2 )

ii ) Tan <YZX = XY/YZ

= 2x/x

Tan <YZX = 2

<YZX = tan^-1 ( 2 )

I hope this helps you.

: )