SOLUTION: A conveyor's belt carries supplies from the first floor of some place to the second floor of that place, which is 12 feet higher. The belt makes a 60 degree angle with the ground.

Algebra ->  Test -> SOLUTION: A conveyor's belt carries supplies from the first floor of some place to the second floor of that place, which is 12 feet higher. The belt makes a 60 degree angle with the ground.       Log On


   

Question 1115648: A conveyor's belt carries supplies from the first floor of some place to the second floor of that place, which is 12 feet higher. The belt makes a 60 degree angle with the ground. How far do the supplies travel from one end of that conveyor's belt to an other end of that conveyor's belt? Round your answer to that question to the nearest foot you can round your answer to.
(21 ft)
7 ft
14 ft
17 ft
My answer to this question is 21 ft, which is why I put parenthesis 21 ft.
I was circling 21 ft.
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Right triangle, height of 12 feet and angle opposite this height is the given 60 degrees. Hypotenuse is the path of travel from bottom of belt to top of belt.

12%2Fh=sin%2860%29

h%2F12=1%2Fsin%2860%29

h=12%2Fsin%2860%29

h=12%282%2Fsqrt%283%29%29

h=12%2A2%2Asqrt%283%29%2F3

highlight%28h=8%2Asqrt%283%29%29
Do what you need with this.