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In AGHI, the measure of ZI=90°, the measure of ZG=82°, and GH = 3.4 feet. Find the length of HI to the nearest tenth of a foot. H 3.4 X 820 I I G

User Thiruvenkadam
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1 Answer

15 votes
15 votes

To find the value of the missing side we can use the trigonometric functions with the values of tha angle and the side given because its a righ triangle.

The corresponding trigonometric is the sin of 82° which involves the opposite side of the angle (x) and the hypotenuse


\begin{gathered} \sin 82=\frac{x}{\text{hyp}} \\ \sin 82=(x)/(3.4) \\ x=3.4\sin 82 \\ x=3.3669 \\ x\cong3.4ft \end{gathered}

User Ol Sen
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