Imagine that a is 5 feet, b is 21 feet, and c is 18 feet. If angle B is 55 degrees, find angle C. Round your answer to the nearest degree.

To solve this problem, we can use the **Law of Cosines** and **Law of Sines** to find the unknown angle \( C \).

### Step 1: Use the Law of Cosines to find the third side, \( c \).
We can start by finding angle \( C \) using the **Law of Sines** or **Law of Cosines**.

#### Step 2: Using Law of Cosines


Solve for angle C in a triangle given side lengths and angle B using the Law of Cosines and Law of Sines. This problem involves applying key trigonometric principles suitable for high school students.

Math Problem Statement

Solution

Step 1: Use the Law of Cosines to find the third side, $c$ .

Step 2: Using Law of Cosines

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