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

The length of the necklace is 12.20 foot

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 =
`(\textrm perpendicular)/(\textrm hypotenuse)`

Or, Sin 55° =
`(\textrm BC)/(\textrm AC)`

Or, 0.8191 =
`(h)/(L)`

Or, 0.8191 =
`(10 foot)/(L)`

Or, L =
`(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