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The volcano Mauna Kea is the highest point in the state of Hawaii. Mauna Kea stands about 4,205 meters above sea level. With sea level represented at 0 meters, the base of the volcano is at an elevation of approximately -6,000 meters.

The actual height of Mauna Kea is __ meters.

1 answer

To find the actual height of Mauna Kea, you can calculate it by taking the difference between its summit elevation and its base elevation.

The summit elevation of Mauna Kea is approximately 4,205 meters above sea level, and the base is approximately -6,000 meters.

To calculate the actual height:

  1. Convert the base elevation to a positive value by subtracting it from the elevation at sea level (0 meters): \( 0 - (-6000) = 6000 \) meters (this represents the underwater portion).

  2. The actual height of Mauna Kea is the sum of the height above sea level and the negative elevation of the base: \( 4205 + 6000 = 10205 \) meters.

Therefore, the actual height of Mauna Kea is 10,205 meters.