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In ARST, the measure of ZT=90°, the measure of ZR=82°, and TR = 44 feet. Find thelength of ST to the nearest tenth of a foot.

In ARST, the measure of ZT=90°, the measure of ZR=82°, and TR = 44 feet. Find thelength-example-1
In ARST, the measure of ZT=90°, the measure of ZR=82°, and TR = 44 feet. Find thelength-example-1
In ARST, the measure of ZT=90°, the measure of ZR=82°, and TR = 44 feet. Find thelength-example-2
User Masud Rahman
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1 Answer

21 votes
21 votes

Using trigonometry,


\begin{gathered} \tan 82^(\circ)=(x)/(44ft) \\ x=44\tan 82^(\circ) \\ x=313.076\text{ ft} \end{gathered}

The length of ST to the nearest of tenth of a foot is 313.1 ft.

User Sorana
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