Weather Surface of a conical roof
A cylindrical tower 30ft in diameter has a conical roof the length of whose eaves is 2ft. An element of the roof is inclined 45 degrees to the horizontal. Find the weather surface (see figure).
Answer at the back of the book: 61.061 square yards.
what i did was,
i got the radius (2+30)/2
i used cosine function to get the slant height,
i used the radius to get the circumference,
then i got the lateral area of the cone by using LA=1/2(circumference)(slant height)
the answer is on the unit square feet. so i divided the answer by 3 so that i can get square yards. my answer is very far from the answer on the book.
i don't know what i did wrong. or is the book wrong? couldn't be.