1.)A piece of commercial real estate is priced at $2.28 per square foot. Find, t
ID: 2920712 • Letter: 1
Question
1.)A piece of commercial real estate is priced at $2.28 per square foot. Find, to the nearest $1000, the cost of a triangular lot measuring 208 feet by 185 feet by 230 feet. $=_______
2.)A plane leaves airport A and travels 640 miles to airport B at a bearing of N32°E. The plane leaves airport B and travels to airport C 270 miles away at a bearing of S72°E. Find the distance from airport A to airport C. (Round your answer to the nearest whole number.)
______mi
3.)Find the area of the given triangle. Round the area to the same number of significant digits given for each of the given sides.
a = 17, b = 12, c = 14
______square units
Explanation / Answer
Solution:(1)
a = 208ft, b = 185ft, c = 230ft
Use Heron's formula to get the area
s = (a + b + c) / 2 = (208 + 185 + 230)/2 = 311.5
A = sqrt(311.5 * (311.5 - 208) * (311.5 - 185) * (311.5 - 230))
A = sqrt(311.5 * (103.5) * (126.5) * (81.5))
A = 18231.53634
P = A * $2.28
P = 18231.53634 * 2.28
P = $51467.90
P = $51 to the nearest $1000.
Solution:(3)
a = 17, b = 12, c = 14
Use Heron's formula to get the area
s = (a + b + c) / 2 = (17 + 12 + 14)/2 = 21.5
A = sqrt(s * (s - a) * (s - b) * (s - c))
A = sqrt(21.5 * (21.5 - 17) * (21.5 - 12) * (21.5 - 14))
A = sqrt(21.5 * 4.5 * 9.5 * 7.5 )
A = 83.027
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