SOLUTION: I am wondering how you find the slant height of a cone. The cone is upside down and the radius of the circle is 5 ft, then there is a line drawn down to the tip of the cone and the

Algebra ->  Surface-area -> SOLUTION: I am wondering how you find the slant height of a cone. The cone is upside down and the radius of the circle is 5 ft, then there is a line drawn down to the tip of the cone and the      Log On


   

Question 439544: I am wondering how you find the slant height of a cone. The cone is upside down and the radius of the circle is 5 ft, then there is a line drawn down to the tip of the cone and the space between the height and the right side (your right side) of the cone it is 30 degrees.
-Thanks!
McKenna Clayton
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
The slant height of a cone is given by the formula sqrt%28r%5E2%2Bh%5E2%29, where r is the radius of the circle and h is the height from the center of the circle to the apex of the cone.
given:
the radius of the circle is r=5+ft,
angle 30 degrees
to find:
s+=+slant+-height

need to find h+=+height.....use tan30=h%2F5ft
0.577=h%2F5ft
0.577%2A5ft=h
2.885ft=h.round
3ft=h

s=sqrt%28r%5E2%2Bh%5E2%29
s=sqrt%28%285ft%29%5E2%2B%283ft%29%5E2%29
s=sqrt%2825ft%5E2%2B9ft%5E2%29
s=sqrt%2836ft%5E2%29
s=6ft