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?

Question

asked Jul 10, 2020 207k views

1 Answer

Bellerofont · Answer 1 · 2020-07-14T21:31:33+0000

Answer:

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