In ∆GHI, the measure of I=90°, the measure of G=82°, and GH = 3.4 feet. Find the length of HI to the nearest tenth of a foot.
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Answer:
We have the equation
Then, the augmented matrix of the system is
We exchange rows 1 and 4 and rows 2 and 3 and obtain the matrix:
This matrix is in echelon form. Then, now we apply backward substitution:
1.
2.
3.
4.
Then the system has unique solution that is and this imply that the vectors
are linear independent.