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40 votes
Find the value of θ correct to the nearest minute.

Find the value of θ correct to the nearest minute.-example-1
User Robert Tomas G IV
by
3.0k points

1 Answer

21 votes
21 votes


\tan (\angle SPR)=(8.2)/(6.5) \longrightarrow \angle SPR=\tan^(-1) \left((8.2)/(6.5) \right)


\tan (\angle QPR)=(8.2+5)/(6.5) \longrightarrow \angle QPR=\tan^(-1) \left((8.2+5)/(6.5) \right)
\theta=\angle QPR-\angle SPR=\tan^(-1) \left((8.2+5)/(6.5) \right)-\tan^(-1) \left((8.2)/(6.5) \right)\\\\\theta \approx \boxed{12^(\circ) 11'}

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