How Tall Is It? Marisa Gray, Elizabeth Pate, Shelby Segrest, Alison Carmack

Elizabeth 30° 60° 4.92 ft 24 ft X Y TRIG: tan < = opp/adj tan 30= Y/24 24 (tan 30)= Y Y≈ cos < = adj/hyp cos 30= 24/X X (cos 30)= 24 X= 24/ cos 30 X≈27.71 Special Right Triangle: l.leg= √3∙ sh. leg 24= √3∙ Y 24/√3= Y 24/ √3∙√3/√3= Y 24√3/ 3= Y Y= 8√3 hyp= 2∙ sh. leg X= 2∙ 8√3 X= 16√3

Shelby 45 ° 45 ° 5 ft 11 ft x y Trig Tan < = opp/adj Tan 45=y/11 11(tan45)=y Y≈11 Cos < = adj/hyp Cos 45=11/x X(cos 45)= 11 X=11/cos 45 X≈7.78 Special right triangle Leg=leg Y=11 Hyp= √2∙leg X= √2∙11 X=11√2 Length of Lamp post= 21ft

y x 13 ft TRIG: tan < = opp/adj tan 60= Y/13 13 (tan 60)= Y Y≈ cos < = adj/hyp cos 60= 13/X X (cos 60)= 13 X= 13/ cos 60 X≈26 Special Right Triangle: l.leg= √3∙ sh. leg 13= √3∙ Y 13/√3= Y 13/ √3∙√3/√3= Y 13√3/ 3= Y Y= 13√3/3 hyp= 2∙ sh. leg X= 2∙ 13 X= 26 Length of Lamp post : feet Alison 60 °

Marisa 55 °

Conclusion