Highway Grades Complete the table for the values of sin to four decimal places.
a) How do sin ?
(b) Highway grades are usually small. Give two approximations of the grade resistance F = W sin that do not use the sine function.
(c) A stretch of highway has a 4-ft vertical rise for every 100 ft of horizontal run. Use an approximation from part (b) to estimate the grade resistance, to the nearest pound, for a 2000-lb car on this stretch of highway.
(d) Without evaluating a trigonometric function, estimate the grade resistance, to the nearest nearest pound, for an 1800-lb car on a stretch of highway that has a 3.75° grade.
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