Question

A hackberry tree has roots that reach a depth of 6 adn 5/12 meters. The top of the tree is 18.28 meters above the ground. Find the total height from the bottom of the roots to the top of the tree.

Answer 1

The total height from bottom of the roots to the top of the tree is 24.70 meter.

Answer 2

24 209/300 m ≈ 24.69667 m ≈ 24.70 m

Explanation:

The total height is the sum of the above-ground height and the below-ground depth:

6 5/12 m + 18.28 m = (6 + 18) m + (5/12 + 7/25) m

= 24 m + (125+84)/300 m

= 24 209/300 m ≈ 24.6966666... m ≈ 24.70 m

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The problem statement does not say what rounding is required. The least-resolution number is 18.28, with resolution of 1 cm, so the answer might rightly be rounded to that resolution: 24.70 m. If we take the numbers to be exact, their sum can only be represented exactly as the ratio of integers or a mixed number or a repeating decimal.