In ΔXYZ, x = 940 cm, ∠Y=139° and ∠Z=20°. Find the length of z, to the nearest centimeter.

897

Step-by-step explanation: \frac{a}{\sin A}=\frac{b}{\sin B}

sinA

a

​

=

sinB

b

​

From reference sheet.

\text{Find other angle:}

Find other angle:

\angle X=180-139-20=21^{\circ}

∠X=180−139−20=21

∘

X

Y

Z

x = 940

z = ?

139°

20°

21°

\frac{z}{\sin 20}=\frac{940}{\sin 21}

sin20

z

​

=

sin21

940

​

Plug in. Opposite sides go together.

z=\frac{940\sin 20}{\sin 21} \approx 897.12 \approx 897

z=

sin21

940sin20

​

≈897.12≈897

d

step-by-step explanation:

d

-2 is the right