Question

Archaeologists have recently started uncovering remains of James Fort (also known as Jamestown Fort) in Virginia. The fort was in the shape of an isosceles triangle. Unfortunately, one corner has disappeared into the James River. If the remaining complete wall measures 300 feet and the remaining corners measure 46.5° and 87°, how long were the two incomplete walls? What was the approximate area of the original fort?

Answer 1

Given that BC=AB=300ft.
Using law of sines to get the third side
 AB/sin(46.5)=AC/sin(87)= 413ft
  
AREA=0.5*300*300*sin(87) =44938.33 sq.ft.