Question

A surveyor locating the corners of a four-sided property (but not a rectangle) started at one corner and walked 400 feet in the direction 10° South of West to reach the second corner. She turned and walked 340 feet in the direction 86° North of East to the third corner. She turned and walked in the direction 5, North of East to get to the fourth corner of the property. Finally the surveyor walked in the direction 75o South of West to get back to the starting point. a) Draw a diagram that shows the outline of the four-sided property and lahel the information you are given in this problem. b) Split the property into two triangles and use the Law of Sines or Law of Cosines to fill out the remaining sides. c) Use the appropriate formulas to calculate the area of the triangles. d) Give the area of the four-sided property approximated to two decimal places Bonus Question: If a triangle has side lengths 3 and 5, what is the largest and smallest area it can have?

Answer 1

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