Solution Found!
To approximate the area of a lake, a surveyor walks around
Chapter 8, Problem 40(choose chapter or problem)
QUESTION:
To approximate the area of a lake, a surveyor walks around the perimeter of the lake, taking the measurements shown in the illustration. 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.]
Questions & Answers
QUESTION:
To approximate the area of a lake, a surveyor walks around the perimeter of the lake, taking the measurements shown in the illustration. 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.]
ANSWER:First, use the Law of Cosines to calculate the angle values for each triangle:
Triangle A: angle A = 90°, angle B = 66.7°, angle C = 23.3°
Triangle B: angle A = 23.3°, angle B = 63°, angle C = 93.7°
Triangle C: angle A = 93.7°, angle B = 66.