SOLUTION: A ship is 130 m away from the centre of a barrier that measures 180 m from end to end. What is the minimum angle that the boat must be turned to avoid hitting the barrier?

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Question 1205348: A ship is 130 m away from the centre of a barrier that measures 180 m from end to end. What is the minimum angle that the boat must be turned to avoid hitting the barrier?
Answer by ikleyn(53763) About Me  (Show Source):
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A ship is 130 m away from the centre of a barrier that measures 180 m from end to end.
What is the minimum angle that the boat must be turned to avoid hitting the barrier?
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The barrier is a circular shape.


The minimum angle is defined by the tangent line to the barrier.


The angle is  sin(a) = 90%2F130 = 9%2F13 = 0.69231


a = arcsin(0.69231) = 0.7647 radians, or 43.9 degrees (approximately).    ANSWER

Solved.