Answer:the distance across the lake is 4.49 km.
Explanation:
Given the measurements provided, we have: Side B = 3.08 km Side C = 4.52 km Angle C = 36.1° To find the distance across the lake (side A or "x"), we can use the Law of Cosines as follows: x^2 = 3.08^2 + 4.52^2 - 2 * 3.08 * 4.52 * cos(36.1°) Now, let's calculate the value of x using a calculator: x = √(3.08^2 + 4.52^2 - 2 * 3.08 * 4.52 * cos(36.1°)) By evaluating this expression, we find that the distance across the lake is approximately 4.49 km (rounded to 2 decimal places). Therefore, the distance across the lake is 4.49 km.