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s/assessment/showtest.phpad?n=skip&to-16; The base of a railing for a set of ste

ID: 2912493 • Letter: S

Question

s/assessment/showtest.phpad?n=skip&to-16; The base of a railing for a set of steps leading up to the front door of a house makes an angle of r degrees with the horizontal. Let d(z) be the horizontal distance between the two ends of the base of the railing. If the upper end of the railing is 9 feet higher than the lower end, find the positive oumber A such that d(z) A cot r, and use your function to find the length of the base of the railing if 38° Round your answer to the nearest tenth of a foot. Base of railing d (x) d(r) - Preview d(38) - Get Help:

Explanation / Answer

d(x) = A cot x

cot x = base / perpendicular

cot x = d(x) / 9

d(x) = 9 cot x

hence A = 9

d(38) = 9 cot (38)

d(38) = 11.5 feet