Answer:
The length of the necklace is 12.20 foot
Step-by-step explanation:
Given as :
The height of the ice cream cone to the ground = h = 10 foot
The angle make by the necklace of the ice cream cone = 55°
Let The length of the necklace = L foot
Now, from figure
Height = BC = h foot
The length of the necklace = L = AC
So, Sin angle = [tex]\dfrac{\textrm perpendicular}{\textrm hypotenuse}[/tex]
Or, Sin 55° = [tex]\dfrac{\textrm BC}{\textrm AC}[/tex]
Or, 0.8191 = [tex]\dfrac{h}{L}[/tex]
Or, 0.8191 = [tex]\dfrac{10 foot}{L}[/tex]
Or, L = [tex]\dfrac{10 foot}{0.8191}[/tex]
∴ L = 12.20 foot
So, The length of necklace = L = 12.20 foot
Hence The length of the necklace is 12.20 foot Answer