Question

Triangle X Y Z is shown. Angle X Y Z is 51 degrees and angle Y Z X is 76 degrees. The length of X Z is 2.6, the length of X Y is z, and Y Z is x. Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction What is the value of z, rounded to the nearest tenth? Use the law of sines to find the answer. 2.7 units 3.2 units 4.5 units 5.3 units

Answer 1

Answer:

$z=3.2\ units$

Step-by-step explanation:

we know that

In the triangle XYZ

Applying the law of sines

$\frac{2.6}{sin(51^o)}=\frac{z}{sin(76^o)}$

solve for z

$z=\frac{2.6}{sin(51^o)}sin(76^o)$

$z=3.2\ units$

Answer 2

Answer:

A. StartFraction sine (51 degrees) Over 2.6 EndFraction = StartFraction sine (76 degrees) Over z EndFraction

Step-by-step explanation: