SOLUTION: A farmer has a triangular field as shown in the following figure, where two sides measure 450 yards and 320 yards. The angle between these two sides measures 80°. The farmer wishes

Algebra ->  Triangles -> SOLUTION: A farmer has a triangular field as shown in the following figure, where two sides measure 450 yards and 320 yards. The angle between these two sides measures 80°. The farmer wishes      Log On


   



Question 1062332: A farmer has a triangular field as shown in the following figure, where two sides measure 450 yards and 320 yards. The angle between these two sides measures 80°. The farmer wishes to use an insecticide that costs $4.50 per 100 sq. yards. What will it cost to use this insecticide on this field
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The area of the triangular field is approximately __________ square yards.
The cost will be $__________.
Explain the steps you took to solve questions 1 and 2.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Most interest in solving is knowing or finding the area. The money unit conversion will be simple.

Look at the triangle: 450 yards and 320 yards, with 80 degrees between these two sides. Use the 450 yard side as base. You want the altitude, which can be 320%2Asin%2880%29.

AREA is %281%2F2%29450%2A320%2Asin%2880%29
more simply, area is 72000%2Asin%2880%29. Square Yards.

Now, take care of the cost.