Question

45.20
Use the law of sines to find the value of y. Round to the
nearest tenth
Law of sines: sin(A) = sin(B) = sin(C)
1.4 units
1.6 units
2.5 units
2.6 units

Answer 1

Answer: 2.5 units

Step-by-step explanation:

Asuming we have a triangle $XYZ$, where:

$XY=2 units$

$XZ=Y$, hence $Z=XY=2 units$

Angle $A$ for $Y$ is $A=75\°$

Angle $B$ for $Z$ is $B=50\°$

We have to apply the law of sines:

$\frac{sin A}{Y}=\frac{sin B}{Z}=\frac{sin C}{X}$

Then:

$\frac{sin 75\°}{Y}=\frac{sin 50\°}{2 units}$

Isolating $Y$:

$Y=\frac{(2units)sin 75\°}{sin 50\°}$

$Y=2.5 units$

Answer 2

The value of y using sine rule is 2.5 unit

Sine rule

Sine rule is used to show the relationship between the sides and angles of a triangle. It is given by:

a / sin(A) = b / sin (B) = c / sin(C)

where A, B,  C are angles and a, b, c are sides opposite the respective angle.

Given that XY = 2, ∠Y = 75, ∠Z = 50. y = XZ, hence:

y / sin(75) = 2 / sin(50)

y = 2.5 unit

The value of y using sine rule is 2.5 unit

Find out more on Sine rule at: https://brainly.com/question/4372174