Sarah needs to measure the angle of the fabric folds to determine the length of her picnic banners using the expression 3csc(2θ). Customary units such as inches or feet are suitable for measuring the space for hanging the banners.
The question presented involves Sarah planning to hang banners, and the length of each banner is determined by the mathematical expression 3csc(2θ), where θ is the angle of the fabric folds. The calculation of the banner's length involves understanding and using the cosecant function, which is the reciprocal of the sine function.
To measure the length of the space for hanging the banner, it would be best to use customary units of length that are suitable for the size of typical rooms or outdoor spaces. The choices are generally in inches, feet, or meters (kilometers or miles would be impractical for such measurements).
Furthermore, to find the exact length, one would ideally measure the angle of the fabric folds with a protractor, calculate the cosecant of that angle, and multiply by 3 to get the final length of the banner. This mathematical procedure ensures that Sarah can create the desired aesthetic effect with accurately sized banners.
The probable question may be:
Sarah is planning a picnic and wants to hang colorful banners in the park. She's using a special type of fabric for the banners, and the length of each banner is given by the expression 3csc(2θ), where θ represents the angle of the fabric folds.
Additional Information:
Sarah loves to add a creative touch to her picnics, and for this event, she's designing banners with a unique pattern. The length of each banner is determined by the expression 3csc(2θ), where csc stands for the cosecant function and 2θ denotes the angle of the fabric folds.