Carlos is planning to build a grain bin with a radius of 15 ft. he reads that the recommended slant of the roof is 25 degrees. He wants the roof to over hang the edge of the bin by 1ft. What should the length of X be? Give answer in Feet and Inches....Explain

Answer 1

draw a side view. It should be clear that

7.5/(x-1) = cos25°

Answer 2

the radius of the conical roof is 16' ... 15' bin plus 1' overhang

the slant height of the cone (X) is ... 16 / cos(25º)

Answer 3

Oops. I read diameter=15, not radius.

But I also read it that the slant height contains the extra foot, not the radius.
That is, there is an extra foot of roof, not an extra foot of radius.