To approximate the area of a lake, a surveyor walks around the perimeter of the lake, taking the measurements shown in t
Posted: Mon Jul 11, 2022 10:34 am
To approximate the area of a lake, a surveyor walks around the perimeter of the lake, taking the measurements shown in the illustration with values below. Using this technique, what is the approximate area of the lake? [Hint: Use the Law of Cosines on the three triangles shown, and then find the sum of their areas.] v = 50 ft, w = 45 ft, x = 30 ft, y = 80 ft, z = 15 ft, F = 15°, G= 110° The approximate area of the lake is (Round the final answer to two decimal p ft. ft². ft³. W ed. Round all intermediate values to four decimal places as needed.)