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The Henderson family runs a farm. A portion of the soil on their farm will not be used. What is the area of the portion of the soil that will not be farmed.

The Henderson family runs a farm. A portion of the soil on their farm will not be-example-1

1 Answer

3 votes

Answer:

(C)221.5 miles

Explanation:

Given a triangle with two sides a and b and an included(an angle between the two given sides) angle
\theta,

Area of the Triangle
=\frac12 ab\sin \theta


a=32$ miles\\b=23 miles\\\theta =37^\circ

Therefore, The area of the portion that will not be farmed


=\frac12 * 32 * 23 * \sin \37^\circ\\=221.47\\\approx 221.5$ square miles

The correct option is C.

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