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

Elizabeth

30°

60°

4.9

2

ft

24 ft

X

Y

TRIG:tan < = opp/adjtan 30= Y/2424 (tan 30)= YY≈ 13.86

cos < = adj/hypcos 30= 24/XX (cos 30)= 24X= 24/ cos 30X≈27.71

Special Right Triangle:

l.leg= √3∙ sh. leg24= √3∙ Y24/√3= Y24/ √3∙√3/√3= Y24√3/ 3= YY= 8√3

hyp= 2∙ sh. legX= 2∙ 8√3X= 16√3

Shelby 45°

45°

45°

5 ft 11 ft

xy

TrigTan < = opp/adjTan 45=y/1111(tan45)=yY≈11

Cos < = adj/hypCos 45=11/xX(cos 45)= 11X=11/cos 45X≈7.78

Special right triangle

Leg=legY=11

Hyp= √2∙legX= √2∙11X=11√2

Length of Lamp post= 21ft

y

4.83

60

30x

13 ft

TRIG:tan < = opp/adjtan 60= Y/1313 (tan 60)= YY≈ 22.52

cos < = adj/hypcos 60= 13/XX (cos 60)= 13X= 13/ cos 60X≈26

Special Right Triangle:

l.leg= √3∙ sh. leg13= √3∙ Y13/√3= Y13/ √3∙√3/√3= Y13√3/ 3= YY= 13√3/3

hyp= 2∙ sh. legX= 2∙ 13X= 26

Length of Lamp post: 27.35 feet

Alison 60 °

10 Feet

55°

4.71 Feet

x

y

35°

Marisa 55 °

Trig:

14.28+4.71=18.99The light post is

Conclusion