Thereisanairplaneflyinginthesky,andyouarecuriousabouthowhighitisofftheground.Youhaveaspecialtoolformeasuringangles,calledagoniometer.Yourgoniometertellsyouthatyourviewinganglefromyoureyes,whichare5feetofftheground,is30degrees.Yourlasertapemeasurealsotellsyouthatthedistancebetweenyouandtheplaneis8,000feet.

30°

Howhighoffthegroundistheairplane?(Rememberhowhighyoureyesarefromtheground!!)

Thereisanairplaneflyinginthesky,andyouarecuriousabouthowfarawaytheplaneisfromyou.Youhaveaspecialtoolformeasuringangles,calledagoniometer.Yourgoniometertellsyouthatyourviewinganglefromyoureyesis45degrees.Yourlasertapemeasurealsotellsyouthatthedistancebetweenyouanddirectlybelowtheplaneis4,000feet.

?? 4,000ft 45°

Howfarfromyouistheairplane?

TODOTHISTASK,YOUWILLNEEDTOEITHERBEABLETOTYPEINVERSETRIGINTOYOURCALCULATOR(ex:sin$% button)oryouwillneedtoclickonthisLINK(http://www.calculatorsoup.com/calculators/trigonometry/inversetrigonometricfunctions.php)tofindtheanswer.***sin$%alsomeansarcsin.Thisappliestocosineandtangent,aswell.Thereisanairplaneflyinginthesky,andyouarecuriousabouttheviewinganglebetweenyouandtheplane.Youhaveaspecialtoolformeasuringangles,calledagoniometer,butitisbroken,soyouneedtofigureitoutonyourown.Yourlasertapemeasuretellsyouthatthedistancebetweenyouanddirectlybelowtheplaneis4,000feetandthedistancebetweentheplaneandthegroundis10,005feet.(Remember:youreyesare5feetofftheground!!)

10,005ft 4,000ft ???

Whatistheviewinganglefromyoutotheairplane?

Notesneededtoaccomplishthistask:Forrighttriangles:

sin 𝐴 = ,--,./0123-,0145.1

cos 𝐴 = 89:8;14023-,0145.1

tan 𝐴 = ,--,./0189:8;140

𝐴 = sin$% ,--,./0123-,0145.1

; 𝐴 = cos$% 89:8;14023-,0145.1

; 𝐴 = tan$% ,--,./0189:8;140

hypotenuseopposite

adjacentopposite

oppositeopposite

A