how tall is it? marisa gray, elizabeth pate, shelby segrest, alison carmack
TRANSCRIPT
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