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

BC=AB=300ft. , use law of sines to get the third side = 413ft. and area is AREA=0.5*300*300*sin(87) =44938.33 sq.ft.

Answer 2

how did u got 300 and 413and can show how you got it

Answer 3

AB=BC (isosceles) , then use AB/sin(46.5)=AC/sin(87) {law of sines} and then solve..........
u will get the area using the equation i showed or even using HERO'S formula......

Answer 4

but in my paper it said the other two walls were -- and about --. the area was about --

Answer 5

yeah. So, the other two walls were 300 ft. and about 413 ft.(bcos its approx.) and the area was about 44938.33 sq.ft. (approx). I hope this clears it up......

Answer 6

ok thank you