SOLUTION: 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 s

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.)
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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.)
:
The relationship between the duck travel and the bullet travel will be 5/23
therefore we can use the sine of the angle, (side opposite over hypotenuse)
sin(A) =
A = 12.5558 ~ 12.6 degrees from a line perpendicular to point where the ducks starts
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