#### Answer

OQ=7.84

#### Work Step by Step

Name the point where AB and OQ intersect point M.
OM$^2$=AO$^2$-AM$^2$
OM$^2$=16-9=7
OM=$\sqrt 7$$\approx$2.64
QM$^2$=AQ$^2$-AM$^2$
QM$^2$=36-9=27
QM=3$\sqrt 3$$\approx$5.2
OQ=OM+MQ
OQ=2.64+5.2
OQ=7.84

Published by
Brooks Cole

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OQ=7.84

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