Derive the triangle area formula A=1/2ab sin(C) using an auxiliary altitude.
Evaluate and interpret triangle area to stated precision
Problem
Evaluate the land-parcel area model \(4800~\sin(65°)~m^{2}\) to the nearest tenth and interpret the result in context.
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What this problem is really about
Preserve the exact trigonometric area model until calculator evaluation, and use degree mode for an angle measured in degrees. Carry full precision through the product, round only the final area to the requested place, and attach square units. The contextual sentence should describe how much two-dimensional region the result covers.
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