Math Problem Statement

Afreshwatertankortapisneededtoservicethenewsciencelaboratories(S), computerlabandlibrary(L),tuckshop(T)andthegirls’dormitories(G).Poweroutages havemadeitapparentforanewfreshwaterpointastheexistingonesareabitfarand overpopulated. Youhavebeentaskedtoidentifyaconsiderablyfairlocationofthewaterpointgiventhe folowinginformationbythemaintenancedepartment. a.SLis60m,LTis80m andTGis70m.Tisonabearingof0300from Landangle LTGis900. b.Thetaportankshouldnotbemorethan60m from G,shouldbenearertoSthan Tandnotmorethan50m from LT.

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Trigonometry

Formulas

Distance formula
Sine rule

Theorems

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Suitable Grade Level

High School