ITOT 43 Spring 2022 - THPT A - additive practice Question 7

A spacecraft is at distance $a>0$ from an unknown plane separating two half-spaces. The crew knows $a$ but not the plane's direction. The craft may follow any path in space, records its travelled distance, and has a sensor signalling contact with the plane. Can the crew guarantee contact with total travel at most (a) $14a$; (b) $13a$? (6+6 points)



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