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A: The corners of a square lie on a circle of diameter D = 0.40 m....

A: The corners of a square lie on a circle of diameter D = 0.40 m. The side of the square has a length L. Find L.

B: The two hot air balloons in the drawing are 48.2 and 67.0 m above the ground. A person in the left balloon observes that the right balloon is 14.5° above the horizontal. What is the horizontal distance x between the two balloons?

C: A highway is to be built between two towns, one of which lies 43.0 km south and 80.0 km west of the other. What is the shortest length of highway that can be built between the two towns, and at what angle would this highway be directed?

D: Three deer, A, B, and C, are grazing in a field. Deer B located 64 m from dear A at an angle of 52° north of west. Deer C is located 78° north of east relative to dear A. The distance between deer Band C is 98 m. What is the distance between deer A and C?

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