Question

Solve the triangle. round to the nearest tenth when necessary or to the nearest minute as appropriate. b = 37.2°, b = 274.6 ft, c = 339.6 ft b = 37.2°, b = 28.3 ft, c = 23 ft b = 36.8°, b = 272 ft, c = 339.6 ft b = 37.2°, b = 339.6 ft, c = 274.6 ft

Answer 1

To solve the given triangle, use the Law of Sines and the Law of Cosines. Use the given information to find the angles and sides of the triangle.

Step-by-step explanation:

To solve the triangle, we can use the Law of Sines and the Law of Cosines. Let's label the angles as A, B, and C, and the sides as a, b, and c. The given information is:

b = 37.2°
b = 274.6 ft
c = 339.6 ft

Using the Law of Sines, we have:

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

Using the given values, we can find the angle A:

sin(A)/274.6 = sin(37.2°)/339.6

Now, let's solve for sin(A) and then find the angle A using the inverse sine function. Similarly, we can find angle C and side a using the given values and the Law of Sines. Finally, we can find angle B using angle sum property of triangles.