document.write( "Question 819748: Shown in the figure is the screen for a simple video arcade game in which ducks move from A to B at the rate of 5 cm/sec. Bullets fired from point O travel 23 cm/sec. If a player shoots as soon as a duck appears at A, at which angle φ should the gun be aimed in order to score a direct hit? (Round your answer to one decimal place.) \n" ); document.write( "

Algebra.Com's Answer #493385 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Shown in the figure is the screen for a simple video arcade game in which ducks move from A to B at the rate of 5 cm/sec.
\n" ); document.write( " Bullets fired from point O travel 23 cm/sec.
\n" ); document.write( " If a player shoots as soon as a duck appears at A, at which angle φ should the gun be aimed in order to score a direct hit?
\n" ); document.write( " (Round your answer to one decimal place.)
\n" ); document.write( ":
\n" ); document.write( "The relationship between the duck travel and the bullet travel will be 5/23
\n" ); document.write( "therefore we can use the sine of the angle, (side opposite over hypotenuse)
\n" ); document.write( "sin(A) = $\"5%2F23\"$
\n" ); document.write( "A = 12.5558 ~ 12.6 degrees from a line perpendicular to point where the ducks starts \n" ); document.write( "

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