Trig/Math Questions!?
HELP!!!
I don't know what I am doing for these two problems.
1. You want to buy a triangular lot measuring 1360 feet by 1890 feet by 2470 feet. The price of the land is $2200 per acre. How much does the land cost? (Hint: 1 acre = 43,560 square feet. Round your answer to two decimal places.)
2. Find the area of the triangle having the indicated angle and sides. (Round your answer to one decimal place.)
B = 139°, a = 84, c = 39
Help and steps please :)
回答 (1)
1.
Use Heron's formula:
s = (1360 + 1890 + 2470)/2 ft = 2860 ft
Area of Δ = √[2860 × (2860 - 1360) × (2860 - 1890) × (2860 - 2470)] ft² = 1273933.672ft²
Cost of the land = (1273933.672 ft²) × (1 acre / 43560 ft²) × ($2200 / 1 acre) = $64340.08
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2.
Refer to the diagram below.
Area of ΔABC = (1/2) a c sinB = (1/2) × 84 × 39 × sin139° = 1074.6 (sq. units)
收錄日期: 2021-04-18 18:23:19
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