# Right Triangle Application Problems Solved

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• 1/7/2016 RightTriangleApplicationProblemsSolved

http://jwilson.coe.uga.edu/emt668/emat6680.folders/brooks/6690stuff/righttriangle/Applicationps.html 1/3

RightTriangle

Applications

ProblemsSolved

Wehavethesideoppositetotheangleinquestionaswellasthehypotenuse.Icanwritetheunknownintermsoftheknownusingthedefinitionofsine:

.FirstIneedtogeteverythingintermsofinches:12ft=144in.,so12ft6in=150in.and =192inso .Noticetheunitscancelout.Youshouldalwaysgeta

unitlessnumberwhenyouhaveatrigonometricratio.UsingtheinversesinonacalculatorIgetthemeasureoftheangleisequalto .

2.

a.IwouldusetheconverseofthePythagoreanTheoremtosolvethisproblem.

b.TheconverseofthePythagoreanTheoremtellsmethatifthenthepolewouldbeatarightanglewith

thegroundwhenthestringwas17ft.

Socompute

and since thepolewouldbeatarightanglewiththegroundwhenthestringis17ft.

3.Kailaisflyingakitewhosestringismakinga anglewiththeground.Thekitestringis65meters

• 1/7/2016 RightTriangleApplicationProblemsSolved

http://jwilson.coe.uga.edu/emt668/emat6680.folders/brooks/6690stuff/righttriangle/Applicationps.html 2/3

long.Howfaristhekiteabovetheground?

wherehistheheight,whatIwanttofind.Iknowanangle,soIknowIneedtouseatrigonometricratiotosolvethisproblem.IamlookingforthesideoppositethegivenangleandIknowthehypotenuse.LookingatmydefinitionsIseeIshouldusethesineratiotowritetheunknownintermsofknowns.

SoIhave

or .

Sousingmycalculatortocomputesin Ifindthekiteisapproximately61metersabovetheground.

4.TheBrook'sareinstallingawidescreentelevisionwitha60inchdiagonal.Theirentertainmentcenteris48incheswideby36incheshigh,willthetelevisionfitintheircurrententertainmentcenter?

Iwanttofinddtoseeifthetelevisionwitha60inchdiagonalwillfitintoarectanglethatis48inchesby36inches.IcanusethePythagoreanTheoremtoputmyknownsintermsofmyunknown:

or

sothetelevisionwillfitexactly.

• 1/7/2016 RightTriangleApplicationProblemsSolved

http://jwilson.coe.uga.edu/emt668/emat6680.folders/brooks/6690stuff/righttriangle/Applicationps.html 3/3