Question

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.

Answer 1

above me is right XD YES YES

Answer 2

Approximate height of the silo is 18 feet.

Explanation:

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

`(AD)/(BD)=(CD)/(AD)`

AD² = BD × CD

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

64 = 5(BC - 5)

BC - 5 =
`(64)/(5)`

BC - 5 = 12.8

BC = 17.8

BC ≈ 18 feet

Therefore. approximate height of the silo is 18 feet.