Question

Sketch the following triangle and then solve the triangle using the Law of Sines. ∠A=22∘, ∠B=95∘, a=420

Answer 1

To solve the triangle using the Law of Sines, sketch the triangle and use the relationship sin A / a = sin B / b = sin C / c.

Step-by-step explanation:

To solve the triangle using the Law of Sines, we first need to sketch the triangle. Given that angle A is 22 degrees, angle B is 95 degrees, and side a is 420, we can label the triangle as follows:

Angle A is opposite side a, angle B is opposite side b, and angle C is opposite side c. Using the Law of Sines, we have:

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

Substituting the given values:

sin 22 / 420 = sin 95 / b = sin C / c

Solving for b and c, we find:

b = (sin 95° / sin 22°) x 420

c = (sin C / sin 22°) x 420