Question

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?​

Answer 1

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 = $\dfrac{\textrm perpendicular}{\textrm hypotenuse}$

Or, Sin 55° = $\dfrac{\textrm BC}{\textrm AC}$

Or, 0.8191 = $\dfrac{h}{L}$

Or, 0.8191 = $\dfrac{10 foot}{L}$

Or, L = $\dfrac{10 foot}{0.8191}$

∴  L = 12.20 foot

So, The length of necklace = L = 12.20 foot

Hence The length of the necklace is 12.20 foot Answer