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A surveyor marks out a triangular plot of land. In triangle XYZ, side XY = 8 m, side YZ = 17 m, and the angle XYZ = 80°.

Find the area of the triangle, correct to one decimal place (in square metres).

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Worked solution — answer: 67.0

A = ½ab sin C

= ½ × 8 × 17 × sin 80°

= 67.0 m²

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