20 POINTS

To calculate the cost of painting his silo, a farmer must find its height. The farmer uses a cardboard square to line up the top and bottom of the silo as shown in the diagram below. Approximate the height of the silo, rounded to the nearest foot.

20 POINTS To calculate the cost of painting his silo a farmer must find its height The farmer uses a cardboard square to line up the top and bottom of the silo class=

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Answer:

Approximate height of the silo is 18 feet.

Step-by-step explanation:

By applying geometric mean theorem in the given right triangle ABC,

[tex]\frac{AD}{BD}=\frac{CD}{AD}[/tex]

AD² = BD × CD

8² = 5 × (BC - BD) [Since, CD = BC - BD]

64 = 5(BC - 5)

BC - 5 = [tex]\frac{64}{5}[/tex]

BC - 5 = 12.8

BC = 17.8

BC ≈ 18 feet

Therefore. approximate height of the silo is 18 feet.

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