A park in a subdivision is triangular-shaped. Two adjacent sides of the park are 573 feet and 536 feet. The angle between the sides is 58mc023-1.jpg. To the nearest unit, find the area of the park in square yards.
A) 32,557 yd2
B) 14,470 yd2
C) 28,940 yd2
D) 43,410 yd2
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OpenStudy (asadkarim7):
i dont know the angle yo u have posted
can u tell me the magnitude of the angle
OpenStudy (anonymous):
it is a 58 degree angle
OpenStudy (anonymous):
area = (product of sides times sine of the included angle)/2 = (A*B sinC)/2
where A, B are the sides and C is the angle
OpenStudy (asadkarim7):
then you should apply the formula 1/2 a b sin 58 and convert the answer from feet to yards ^2
OpenStudy (anonymous):
okay I think I can try to figure that out
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OpenStudy (asadkarim7):
you want me to solve that for you >??
OpenStudy (anonymous):
if you could, these are the ones i'm stuck on
OpenStudy (asadkarim7):
ok wait let me bring my calculator
OpenStudy (asadkarim7):
1/2 (573)(536) sin 58= 130229.66
OpenStudy (asadkarim7):
convert 130229.66 to yard^2
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OpenStudy (anonymous):
you have to divide that by 9 to get the answer in square yards.