Question

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

Given : The farmer uses a cardboard square to line up the top and bottom of the silo as shown in the diagram below.

To Find  : the height of the silo,  

Solution:

Let say height above 6 ft is x

hence total height = 6  +  x ft

Now using geometric mean property

8²  =  6  * x

=> x = 64/6

=> x = 10.67

Hence  total height  = 6 + 10.67  = 16.67  ft

= 17 ft

height of the silo, rounded to the nearest foot.  = 17 ft

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