To find the distance across a small lake a surveyor has take

To find the distance across a small lake, a surveyor has taken the measurements shown. Find the distance across the lake using this information. (Assume points A and B are exactly along the shoreline, and that a = 2.32 miles and b = 3.91 miles. Round your answer to two decimal places.) 4.9 40.3

Solution

c²= a² + b²-2ab cos C

c² = 2.32²+3.91²-2(2.32)(3.91) cos(40.3)

c²=20.6705 -18.1424cos40.3

c=2.61mi