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.

Question

asked Mar 13, 2021 156k views

1 Answer

Marly · Answer 1 · 2021-03-18T02:14:28+0000

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.