self Maths Puzzle

You have a lighter and two fuses that take exactly one hour to burn, but they don't burn at a steady rate. For example, one fuse could take 59 minutes to burn the first inch and then burn the rest of the fuse in the last minute.

How would you use these two fuses to measure 45 minutes?

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self Other Question

What is special about the following sequence of numbers?
8 5 4 9 1 7 6 10 3 2 0
PA and PB are tangents to a circle at A and B respectively and the chord BC is
parallel to tangent PA. If AC = 6 cm, and length of the tangent AP is 9 cm, then what is the length of the
chord BC?