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

Question

2 years ago

10

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

Mathematics

1 answer:

Novay_Z [31] · Answer 1 · 2022-09-23T16:28:15+03:00

Novay_Z [31]2 years ago

4 0

Answer:

3.2 units

Step-by-step explanation:

Use the law of sines

z/sin 76 = 2.6/sin 51

z = 2.6 sin 76/sin 51 = 3.2