a candy necklace is extended from the top of a 10-foot ice cream cone to the ground. The necklace makes a 55 degree angle of the ice cream cone. How long is the necklace?​

Respuesta :

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

Ver imagen WaywardDelaney