A tunnel is to be built through a hill to connect the towns of Mathville and : Trigville with a straight road. A straight road between Mathville and Functionvil is 2 km long. A straight road from Trigville to Functionville is 5 km long. The angle between the two roads is 63°. a) Determine the length of the road between Mathville and Trigville, to the nearest tenth of a kilometre. b) Determine the angle between the road connecting Functionville and Mathville and the road from Mathville to Trigville.

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