A farmer in Guyana is fencing a triangular plot of land. Two sides measure 45 m and 60 m, and the angle between them is 30°. What is the area of the plot?

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Question

A farmer in Guyana is fencing a triangular plot of land. Two sides measure 45 m and 60 m, and the angle between them is 30°. What is the area of the plot?

Accepted Answer

675 m² — Award 1 mark for correct substitution into Area = ½ab sin C = ½ × 45 × 60 × sin 30° = ½ × 45 × 60 × 0.5 = 675 m². B is incorrect — this is the result without the ½ factor. C is incorrect — this omits both the ½ factor and uses sin 30° = 1. D is incorrect — this uses an incorrect value for sin 30°.

Answer

1170 m²

Answer

1350 m²

Answer

675 m²

Answer

2700 m²

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