10 Trig Elevation and Depression - Weebly

For each question draw a diagram first, then solve the problem. 1. Annaliese sees the top of a tower at an angle of elevation of 4 o . She knows the tower is 2000m away. How tall is the tower? (Ignore her height) 2. From a hot air balloon, the angle of depression to Tyler’s house is 30 o . The balloon has an altitude of 150m, how far is the balloon away from the house horizontally? 3. A helicopter is hovering 50m above the ground. It sees a fire at an angle of depression of 10 o , how far away is the fire? 4. Tehani is wondering what the height of a nearby tree is. She is 16m away from the base of the tree. She measures an angle of elevation of 50 o from her eye level (1.74m high) to the top of the tree. Calculate the height of the tree. 5. Samanthra is looking up at a castle which is at the top of a cliff 500m away. She measures an angle of elevation of 30 o to the top of the cliff, and 35 O to the top of the castle. How tall is the castle? 6. An ant is looking up at a table which is 1.5m high. If the ant is 2m away from the table, what is the angle of elevation to the top of the table? 7. * Gabi is on the top of a 100m cliff watching a boat sail away to sea. At first the boat is at an angle of depression of 45 o . Then 30 minutes later it was at an angle of depression of 5 o . a. How far did the boat travel in the 30 minutes? b. What was the boat’s speed? 8. * Noah looks up at the top of the SBH, which is 11m high. He measures an angle of elevation of 35 o , then walks 10m closer. What is the angle of elevation now, to the nearest minute? 9. ** Fleur measures an angle of elevation of 20 o to the top of a building. She then walks 50m closer to the building, and measures the angle of elevation to be 30 o . How tall is the building? (requires algebra!)

Upload
others
Category

Documents
view
3
download
0

Embed Size (px):

Transcript of 10 Trig Elevation and Depression - Weebly

Page 1: 10 Trig Elevation and Depression - Weebly

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!)