SOLUTION: the slant of a right circular cone makes an angle A with its base. of the slant height measures 30 mm and its three times the measure of the radius of the base, find M<A, the late
Algebra ->
Surface-area
-> SOLUTION: the slant of a right circular cone makes an angle A with its base. of the slant height measures 30 mm and its three times the measure of the radius of the base, find M<A, the late
Log On
Question 1068092: the slant of a right circular cone makes an angle A with its base. of the slant height measures 30 mm and its three times the measure of the radius of the base, find M Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
the slant height of the right circular cone makes an angle A with the base.
the slant height measures 30mm and it is 3 times the measure of the radius of the base.
this means the radius of the base must be 10 mm, if i understand you correctly.
drop a perpendicular from the vertex of the cone to the center of the base and you have a right triangle formed with the radius of the base as one leg and the slant height as the hypotenuse.
cosine of angle A is equal to the adjacent side divided by the hypotenuse.
this becomes cos(A) = 10/30 = 1/3.
use your calculator to solve for A to get A = 70.52877937 degrees.
