We can use the pattern in the given distances to find the distance between the 1st pole and the 10th pole.

The distance between the 1st pole and the 2nd pole is 18 m.

The distance between the 2nd pole and the 3rd pole is unknown.

The distance between the 3rd pole and the 4th pole is 2 times the distance between the 2nd pole and the 3rd pole.

The distance between the 4th pole and the 5th pole is 3 times the distance between the 3rd pole and the 4th pole.

The distance between the 5th pole and the 6th pole is unknown.

Continuing this pattern, we can see that the distance between the 9th pole and the 10th pole is 8 times the distance between the 8th pole and the 9th pole.

Therefore, the distance between the 1st pole and the 10th pole can be calculated as follows:

Distance between 1st pole and 10th pole = 18 + x + 2x + 3(2x) + 4(2x) + 5(2x) + 6(2x) + 7(2x) + 8(2x)

where

x is the distance between two consecutive unknown poles.

Simplifying this expression, we get:

Distance between 1st pole and 10th pole = 18 + 2x(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8)

Distance between 1st pole and 10th pole = 18 + 2x(36)

Distance between 1st pole and 10th pole = 18 + 72x

We need to find the value of

x to calculate the distance between the 1st pole and the 10th pole. Unfortunately, the given information is not sufficient to determine the value of

x, so we cannot calculate the distance between the 1st pole and the 10th pole.