SOLUTION: A cross section of a cottage, 18ft wide is an isosceles triangle. If the slope of a side is 1.75 and there is a second floor 8ft above the ground floor, what is the width of the s

Question 1121875: A cross section of a cottage, 18ft wide is an isosceles triangle. If the slope of a side is 1.75 and there is a second floor 8ft above the ground floor, what is the width of the second floor?
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!

Here is a picture....

The slope of line AC is 7/4, so we can find the height of the triangle, CO:

Since OF is 8, CF is 63/4-8 = 31/4.

Then, since triangles CAB and CDE are similar, we can find the length of DE:

Answer: the second floor is 62/7 feet wide.
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