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PIMSO 2022 - Mathematics - Grade 10 / Secondary 4 - National Round Question 24

PIMSO Maths · PIMSO 2022 - Mathematics - Grade 10 / Secondary 4 - National Round

Question 24

A certain semi-circular tunnel covers 2 cemented lanes. Beyond the lanes are the gutters whose widths of 1 ft. each extend up to each of the edges of the tunnel. The maximum height of vehicles that can pass through the tunnel while travelling along the edge of the lane is $4\sqrt2$ ft. What is the total width of the tunnel?

Interpret “edge of the lane” as the outer edge adjoining a gutter.