To find the height of the canvas, we can use trigonometric functions. Given that the diagonal of the canvas is 23.3 inches and it forms a 31° angle with the bottom of the canvas, we can use the sine function:
\[ \text{Height} = \text{Diagonal} \times \sin(\theta) \]
Where:
- \(\theta\) is the angle (31°),
- Diagonal = 23.3 inches.
So, we calculate:
\[ \text{Height} = 23.3 \times \sin(31^\circ) \]
First, we need to find \(\sin(31^\circ)\). Using a calculator:
\(\sin(31°) \approx 0.5150\).
Now, substitute back into the height equation:
\[ \text{Height} = 23.3 \times 0.5150 \approx 12.00 \text{ inches} \]
Now we round to the nearest inch. Thus, the height of the canvas is approximately 12 inches.
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