To find the height of the sail, which is opposite the angle of 40 degrees in the right triangle, we can use the sine function. The formula for sine in a right triangle is given by:
\[ \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} \]
However, in this case we know the side adjacent to the angle (which is 2 meters) and need to find the height (the opposite side). The relationship we want is:
\[ \sin(40^\circ) = \frac{\text{height}}{2 , \text{meters}} \]
To find the height, we can rearrange this equation:
\[ \text{height} = 2 \cdot \sin(40^\circ) \]
Looking at the options provided, we find that the expression for the height of the sail is:
\[ \text{height} = 2 \cdot \sin(40^\circ) \]
Thus, the correct choice is:
2(sin 40°).
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