louie is trying to find a rectangular canvas for his art project. its diagonal must measure 23.3 inches and form a 31° angle with the bottom of the canvas. what is the height of the canvas? round your answer to the nearest inch.
12 in
14 in
24 in
27 in

12 in

Step-by-step explanation:

Let

h > the height of the rectangular canvas

we know that

The diagonal represented the hypotenuse of a right triangle and the height represent the opposite side to the angle of 31 degrees

so

sin(31°)=h/23.3

Solve for h

h=(23.3)sin(31°)=12 in