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A sniper is sitting on top of a tower at a height of 60 ft. There are four work- ersK,L,Mand Nstanding at a distance of 96ft,90ft,82ft, and 75ftrespectively from the base of the tower. The heights of K,L,M, and Nare 6ft,5.5ft,5.7ft, and 5.2ftrespectively. The sniper misfires a bullet at an angle θwith the horizontal. Since the range covered by the bullet is short, the path of the bul- let is assumed to be a straight-line path. If tanθ=23, choose the correct option.All workers are safeAll the workers are safe except KOnly Kand Nare safeNo one is safeOnly Kis safeAll the workers are safe except M |
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Answer» all workers are safe Step-by-step explanation: S(0,60) N(75,0) M(82,0) L(90,0) K(96,0) given, tan θ = 2/3 i.e. slope(m) = 2/3 = 0.67 find the slope of SN, SM, SL, SK m(SK) = 0.625 Therefore SN,SM,SL,SK is INSIDE the slope 2/3 THEREFORE all workers are safe |
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