Math / Geometry

Question47. To estimate the width of an archaeological mound, archaeologists place two stakes on opposite ends of the widest point. See Eigure 8.51 . They set a third stake 82 feet from one stake and 97 feet from the other stake. The angle formed is $125^{\circ}$ . Find the width of the mound.
Figure 8.51

Studdy Solution
Calculate the expression:
$AB^2 = 6724 + 9409 + 9124.3488$ $AB^2 = 25257.3488$
Take the square root to find $AB$ :
$AB = \sqrt{25257.3488}$ $AB \approx 158.92$
The width of the mound is approximately $158.92$ feet.

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