3 + 1/9 = 27/9 + 1/9 = 28/9
2 + 2/5 = 10/5 + 2/5 = 12/5
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So:
[3+(1/9)]/[2+(2/5)]
=(28/9)/(12/5)
=(28/9)*(5/12)
=140/108 = 70/54 = 35/27
The side across from the 63° angle is 299.5 ft and the side across from the 56° angle is 278.7 ft.
We will use the Law of Sines to solve this. First, the angle across from the 63° angle:
sin 61/294 = sin 63/x
Cross multiply:
x*sin 61 = 294 sin 63
Divide by sin 61:
(x sin 61)/(sin 61) = (294 sin 63)/(sin 61)
x = 299.5
For the side across from the 56° angle:
sin 61/294 = sin 56/x
Cross multiply:
x*sin 61 = 294 sin 56
Divide both sides by sin 61:
(x sin 61)/(sin 61) = (294 sin 56)/(sin 61)
x = 278.7
Seventy-five degrees is the answer.
The hundreths place, so .02
Answer: 11/8
11/8= 1 3/8
1 3/8 > 2/3
