To approximate the area of a lake, a surveyor walks around the perimeter of the lake, taking the measurements shown in t

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To Approximate The Area Of A Lake A Surveyor Walks Around The Perimeter Of The Lake Taking The Measurements Shown In T 1 (161 KiB) Viewed 29 times

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.)