please I need help figuring this out. solutions should be written legibly amd with clear steps. Thank you

3. A prior engineer was told to create a corrugated metal roof sheet. The area they needed to cover was 16 feet by 30 feet. The shape of the corrugation can follow with the side that is 30 feet long and it fits the expression h() = sin( ) where h() is the height of the corrugation and I is the length in feet along the side. So the engineer took a 16 by 30 foot sheet metal and bent it into the correct shape. However, when this to the work site something was wrong. Determine the following: (a) (4 points) The metal sheet did not fit. Why did it not fit and how did it not fit? (b) (10 points) Provide the correct dimensions needed on the original sheet metal in order to get the correct coverage. Round your answer to the nearest hundredth of a foot