In ΔXYZ, ∠Y=90° and ∠X=73°. ∠ZWY=80° and XW=80. Find the length of ZY to the nearest 100th.

Solution given:

Y=90°

∠X=73°.

∠ZWY=80°

and XW=80.

ZY=?

We know that

In right angled triangle ∆ XYZ

Tan 73=

3.27=

3.27×[xy]=yz

xw+wy=

wy=-80...........(1)

again

In right angled triangle WYZ

Tan 80=

5.67×wy=yz

wy=

yz=5.67×wy............................................(2)

Equating equation 1&2

=-80

-=80

5.67yz-3.27yz=80*5.67*3.27

2.4yz =1483.272

yz=

yz=618.03

:.y=618.03unit.the length of ZY to the nearest 100th is 618.

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96 39 cause 135 -96=39 im smart (i used a calculater)