# POM10 Solutions Ch7 FINAL.pdf

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University of Toronto Scarborough

Economics for Management Studies

MGEB31H3

Jovan Stefanovic

Spring

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Chapter 7 Trigonometry of Right AnglesChapter 7 Get ReadyChapter 7 Get ReadyQuestion 1Page 326ac25 0c25n50180n130x130 by30m3082180m68a30180a15029 0ec45e5290r38rdf110u110180u70h270180h55p55 ek72v7272180v36MHRPrinciples of Mathematics 10 Solutions 1Chapter 7 Get ReadyQuestion 2Page 326Answers may vary For example The three interior angles of an equilateral triangle are all equalLet one interior angle be xSince the sum of the interior angles in a triangle is 180 xxx180Then 3x180This equation can be solved to give x60The three equal interior angles in an equilateral triangle are all 60Chapter 7 Get ReadyQuestion 3Page 326Answers may vary For example Since the sum of the interior angles in a triangle is 180xy90180 This equation can be solved to give xy90The two acute angles in a right triangle are complementaryChapter 7 Get ReadyQuestion 4Page 326Answers may vary For example Let the third interior angle be cSince the sum of the interior angles in a triangle is 180 abc180This equation can be solved to give c180abSince the angles c and x are supplementary cx180Substitute the value for c into this equation to get180abx180 180180xab xab The exterior angle of a triangle is equal to the sum of the two opposite interior anglesChapter 7 Get ReadyQuestion 5Page 327222a cab2225111x2346x168x The hypotenuse measures 186 cm222b cab22294s7222783s5s3 The unknown side measures 53 m2MHRPrinciples of Mathematics 10 SolutionsChapter 7 Get ReadyQuestion 6Page 327222a cab222b55952b60b77 The unknown side measures 77 m222b cab22263c8225428c74c The unknown side measures 74 cmChapter 7 Get ReadyQuestion 7Page 327risemarun203023 risebmrun0522522MHRPrinciples of Mathematics 10 Solutions 3

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