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

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.

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