c Dezto.mheducation.com/hm.tpx e connect HW#3 2· 1000 points Do not round interm

Question

c Dezto.mheducation.com/hm.tpx e connect HW#3 2· 1000 points Do not round intermediate caleulations, however for display purposes report intermediate -Assistance steps rounded to four sigincantfigures. Give your final answerts) to threo significant figures. EHI 1 A slide on a child's play strecture is to be supported in part by strut CD (railings are omittrd from the sketch for clarity). EndC of the strut is to be positioned along the outside edge of the slide, halfway between endsd and &.End D of the strut is to be positlomed on the y asis s that the anple ZACD between the slide and the strut is a right angle. Determine the distance h that point D should be positioned. MacBook Ai 3 4. 5

Explanation / Answer

AB = sqrt(13^2 + 5^2)
= 13.92838
BC = AB/2 = 6.9641

let t be angle ABO   , O is the origin
tan t = AO / OB = 5/13

sec t = DB / CB
DB = CB * sec t
sect = sqrt( 1 + (5/13)^2) = 1.07141
DB = 1.07141 * 6.9641
= 7.4614

h = 15 - 7.4614
= 7.5386

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