MEASURINGRIGHTTRIANGLES
YourAngle:______________
1. Navigatetohttp://geogebratube.org/student/m686897.(Ifyoudon’twanttotypethemin,all
thelinksareonmywebsite.)
2. AdjusttheslidersothattherighttriangleABCcontainsyourangle.
3. Writedownthelengthofthesideoppositeyourangle,andthelengthofthesideadjacentyour
angle,inthetablebelow.
4. MovepointAtocreateadifferent-sizedtriangle,andwritedownthesidelengths.Dothisfora
totaloffivedifferent-sizedtriangles.(Theanglesshouldremainthesamethewholetime.)
Triangle
Lengthofoppositeside
Lengthofadjacentside
opposite
Ratioof adjacent 1
2
3
4
5
YourRatio:
5. Calculatetheratioofopposite/adjacentsideforall5triangles.Roundtothenearesthundredth.
6. Theratiosforall5trianglesshouldcomeouttobethesame,orveryveryclose.Explain,using
geometricideas,whythatmakessense.
7. Usingtheinformationthatyoujustfiguredout…..Now,solveaproblem.Romeostands50feet
fromJuliet’shousetowooherasshestandsonthebalconyabove.Theangleofelevationfrom
RomeotoJulietisyourangle.Howhighoffthegroundisshe?
8. Discusshowyoufiguredouttheunknownsidesin#7withyourpartnerorgroup.
9. Navigatetolinkshownandentertheratioyoufoundforyourangle. 5thblock:http://bit.ly/1Q6Uje6
6thblock:http://bit.ly/1Q6UrKB
1stblock:http://bit.ly/1YC7s1w
Herearesomeproblemstotrywithyourpartner.Youwillneedtousetheratiosintheshared
spreadsheet.
1. Amapmakerstands4.5milesawayfromthecenterofamountain.Sheusesaninstrumentcalleda
sextanttositetheangleofelevationtothetopofthemountainat40o.Whatistheheightofthe
mountain?Showwork.
40o
4.5miles
2. Themapmakertravelstoanewlocationwithadifferentmountain.Sheknowsthatthisnew
mountainis15,000feettall.Fromhervantagepoint,theangleofelevationtothetopofthe
mountainis25o.Howfarawayfromthecenterofthemountainisshestanding?Showwork.
3. Checkouttherighttrianglesandrectanglesbelow.Thelengthsofthelegsarelabeled.Canyou
figureoutwhattheanglesare,tothenearestdegree?(Drawingsarenottoscale.)
1”
c
e
√3”
15m
10’
d
h
g 1cm
b
f
12’
15m
4cm