As the picture shows, in a tourist area, there are two paths for passengers to get down from the scenic spot. One is to walk in a straight line, and the other is to take a cableway.

(1) in, ∫8, 9, ∴,,

Therefore.

According to sine theorem, the length of ropeway 1 is 1040(m).

(2) Suppose that the distance between tourists A and B is 0 minutes after B's departure. At this time, A left M, and the distance between B is M,

According to cosine theorem,

∫ That is, when (min), the distance between tourists A and B is the shortest.

(3) From the sine theorem, we can get (m). When B sets out, A has left (M) and needs to walk (M) to get there.

Let b's walking speed be m/min, which is derived from the meaning of the question.

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