Totem Pole

One-fifth (1/5) of a totem pole is tapered at the top. One-sixth (1/6) of the pole is buried in the ground. The remaining 3.8 meters are ornately carved. How high is the top of the totem pole above the ground?

Show/Hide Solution

Let x represent the total length of the pole.
Then x/5 + x/6 + 3.8 = x.
So 11x/30 + 3.8 = x.
Multiplying through by 30, we get 11x + 114 = 30x, so x = 6 meters.
Since 1/6 of the pole is buried underground, the top of the pole is 5 meters above the ground.

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