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The figure shows part of a freeway interchange. The raised freeway is supported by vertical, parallel pillars. Set up a ratio and solve to find the length of PQ to the nearest tenth of a yard.

The figure shows part of a freeway interchange The raised freeway is supported by vertical parallel pillars Set up a ratio and solve to find the length of PQ to class=

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MissPhiladelphia
We will use ratio and proportion between the inclined sides with its corresponding horizontal bases. Then we could determine for the value of segment AQ.

PA/SB = AQ/BR
32/30 = AQ/24
AQ = 25.6 yd

Since what is asked is segment PQ,
PQ = PA + AQ
PQ = 32 + 25.6
PQ = 57.6 yards

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