Find the measure of the angle formed between the base of the cone and a line segment that represents the slant height.

Step-by-step explanation:

tan Ф = opposite /  adjacent

Ф = arctan ( 2 / 6)

Ф = 18.4349°   ( this is the angle opposite of the one wanted, or ∠C)

then

180 = 90+ 18.4349° +∠A

71.565 = ∠A

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )