Respuesta :

Answer:

I would use the Law of Sines strategy to find y ⇒ C

Step-by-step explanation:

In an acute triangle or an obtuse triangle, we can use:

  • Law of Sines OR Law of Cosines to solve the triangle
  • If you have the lengths of 2 sides and the measure of the opposite angle to one of these sides use the Law of Sines to solve the triangle
  • If you have the lengths of the 3 sides use the Law of Cosines

Let us study the given in the question.

→ In Δ ABC

m∠C = 48°

∵ The length of the side AB = 200 yds ⇒ opposite to ∠C

m∠B = y

∵ The length of the side AC = 250 yds ⇒ opposite to ∠B

→ The given is two sides and measure of an opposite angle

∴ We can use the Law of Sines to find the value of y

∵ [tex]\frac{AB}{sin(C)}[/tex] = [tex]\frac{AC}{sin(y)}[/tex]

∴ [tex]\frac{200}{sin(48)}[/tex] = [tex]\frac{250}{sin(y)}[/tex]

→ By using the cross-multiplication, we can find sin(y) and then the

   value of y

I would use the Law of sines strategy to find y