a geometry question

Question

The top, right, bottom, and left sides of a trapezoid are labeled ceiling, right edge, floor, and left edge respectively. The right edge is 96 inches long. The angle made by the ceiling and right edge is 113 degrees.

An interior decorator is determining the amount of wallpaper needed to cover the trapezoid-shaped wall shown in the diagram below. The decorator knows that the wall's right edge has a length of 96 in. and forms a 113° angle with the ceiling. What is the height of the wall in inches? Round your answer to two decimal places.

Answer 1

Drop a perpendicular from the intersection of the ceiling and the right edge to the floor.

The angle made by this perpendicular and the right edge is 23°.

The height of the wall is 96 cos 23°.

You can do the arithmetic and round off!