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In AEFG, e = 6.9 inches, f = 8.7 inches and /G=27°. Find the length of g, to thenearest 10th of an inch.

In AEFG, e = 6.9 inches, f = 8.7 inches and /G=27°. Find the length of g, to thenearest-example-1
User Lee Hesselden
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1 Answer

25 votes
25 votes

We will determine the length of g as follows:

*First: We will use the law of cosines to solve, that is:


g^2=(8.7)^2+(6.9)^2-2(8.7)(6.9)\cos (27)

*Second: We solve:


g=4.040514411\ldots\Rightarrow g\approx4.0

So, the measure of the side g is approximately 4.0 inches long.

User Natti
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