Question 1111755
the wood makes an angle of 47 degrees with the floor.


this forms a right triangle, where the hypotenuse is 15 inches and the angle between the floor and the piece of wood is 47 degrees and the height is opposite the 47 degree angle.


sine (47 degrees) = opposite / hypotenuse = height / 15.


solve for height to get:


height = 15 * sine (47 degrees).


this results in height = 10.97030552 inches.


here's my diagram:


<img src = "http://theo.x10hosting.com/2018/030903.jpg" alt="$$$" >


the nightstand is the horizontal line through point A.


the piece of wood is the line segment AC.


the height of the nightstand is the line segment AB


the angle of inclination if angle ACB.


the formula used is shown in the diagram.


the height of the table is represented by x whihc is equal to 10.970305552 inches.


rounded to 2 decimal places, the height is equal to 10.97 inches.