Observatories 82707

Target C is observed from two artillery observatories, A and B, 296m apart. At the same time, angle BAC = 52°42" and angle ABC = 44°56". Calculate the distance of the target from observatory A.

Correct answer:

AC =  210.9291 m

Step-by-step explanation:

AB=296 m α=52°42=52°+6042°=52.7°=52.7 β=44°56=44°+6056°=44.9333°44.9333  α+β+γ=180   γ=180αβ=1801052715674=30247182.3667   sin β : sin γ = AC : AB  AC=AB sinγsinβ=AB sin82.366666666667° sin44.933333333333° =296 sin82.366666666667° sin44.933333333333° =296 0.9911380.706284=210.929=210.9291 m

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