Foreachquestiondrawadiagramfirst,thensolvetheproblem.

1. Annalieseseesthetopofatoweratanangleofelevationof4o.Sheknowsthetoweris2000maway.Howtallisthetower?(Ignoreherheight)

2. Fromahotairballoon,theangleofdepressiontoTyler’shouseis30o.Theballoonhasanaltitudeof150m,howfaristheballoonawayfromthehousehorizontally?

3. Ahelicopterishovering50mabovetheground.Itseesafireatanangleofdepressionof10o,howfarawayisthefire?

4. Tehaniiswonderingwhattheheightofanearbytreeis.Sheis16mawayfromthebaseofthetree.Shemeasuresanangleofelevationof50ofromhereyelevel(1.74mhigh)tothetopofthetree.Calculatetheheightofthetree.

5. Samanthraislookingupatacastlewhichisatthetopofacliff500maway.Shemeasuresanangleofelevationof30otothetopofthecliff,and35Otothetopofthecastle.Howtallisthecastle?

6. Anantislookingupatatablewhichis1.5mhigh.Iftheantis2mawayfromthetable,whatistheangleofelevationtothetopofthetable?

7. *Gabiisonthetopofa100mcliffwatchingaboatsailawaytosea.Atfirsttheboatisatanangleofdepressionof45o.Then30minuteslateritwasatanangleofdepressionof5o.

a. Howfardidtheboattravelinthe30minutes?b. Whatwastheboat’sspeed?

8. *NoahlooksupatthetopoftheSBH,whichis11mhigh.Hemeasuresanangleof

elevationof35o,thenwalks10mcloser.Whatistheangleofelevationnow,tothenearestminute?

9. **Fleurmeasuresanangleofelevationof20otothetopofabuilding.Shethenwalks50mclosertothebuilding,andmeasurestheangleofelevationtobe30o.Howtallisthebuilding?(requiresalgebra!)

1.139.85m2.259.80m3.283.56m4.20.81m5.61.43m6.36.87o7.a.1043mb.2.086km/hr8.62o34’9.49.24m