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Find the angle theta to the nearest minute for sin theta=0.1655. a. 9 degrees 32' b. 9 degrees 38' c. 9 degrees 39' d. 9 degrees 31'
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\[\sin(\theta) = 0.1655 \implies \theta = \sin^{-1}(0.1655)\]
ans= (d) 9 degrees 31'
\[\large \theta = 9.5262\] Clearly 9 degrees we have but we have to find minute also.. 1 hour = 60 minutes: \[\large 5262 \times 60 = 315720\] So: 9 degrees and 31 minutes..
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