Jasmira has a new corner shelving unit that is triangular. The unit has three identical oblique triangle shelves. Jasmira wants to put some shelving paper down but isn't sure how much to buy. If one side of each triangle is 22 inches, an adjoining side is 35 inches, and the angle formed between them is 87 degrees, then how much paper (to the nearest square inch) does she need to cover all 3 shelves?
To find the area of one triangle shelf, we can use the formula for the area of an oblique triangle: A = (1/2) * a * b * sin(C), where a and b are the lengths of two sides and C is the included angle.
Using the given information, the area of one triangle shelf is A = (1/2) * 22 inches * 35 inches * sin(87 degrees).
Calculating this gives: A ≈ 0.5 * 22 * 35 * 0.999847 = 386.693 square inches.
Since Jasmira has three identical triangle shelves, she will need to buy 3 * 386.693 square inches of shelving paper.
Therefore, she needs approximately 1160.079 square inches of paper. To the nearest square inch, she needs 1160 square inches of paper. Answer: \boxed{1160}.