Question

Sketch the following triangle and then solve the triangle using the Law of Sines. ∠B=10∘, ∠C=100∘, c=115

Answer 1

To solve the triangle using the Law of Sines, sketch the triangle and then use the formula a/sin(A) = c/sin(C), where A is the angle opposite side a and C is the angle opposite side c.

Step-by-step explanation:

To solve the triangle using the Law of Sines, we first need to sketch the triangle based on the given information. Let's label the triangle as ABC, with angle B measuring 10 degrees, angle C measuring 100 degrees, and side c measuring 115 units.

To find the length of side a, we can use the Law of Sines:

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

Substituting the known values, we get:

a/sin(10) = 115/sin(100)

Now, we can solve for side a using algebra.