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In ANOP, the measure of ZP=90°, the measure of 20=17°, and OP = 8.6 feet. Find the length of PN to the nearest tenth of a foot. O 8.6 Р N X

In ANOP, the measure of ZP=90°, the measure of 20=17°, and OP = 8.6 feet. Find the-example-1
User KFox
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1 Answer

6 votes
6 votes

Using SOHCAHTOA principle


\begin{gathered} tan17=\frac{opposite}{\text{adjacent}} \\ \text{opposite = x} \\ \text{adjacent }=8.6ft \\ tan17=(x)/(8.6) \\ \text{cross multiply} \\ tan17*8.6=x \\ x=3.49391564547*8.6 \\ x=30.0476745511 \\ x\approx30.0ft \end{gathered}

User Codrut
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