Answer:
13.41 cm
Step-by-step explanation:
The radius, height, and HALF of vertical angle makes a triangle.
Where
Radius will be the base of the triangle
Height will be the "height" of the triangle
Top angle will be HALF of vertical angle (40/2 = 20)
From the 20 degree angle, the side "opposite" would be the radius, which is 30. The side "adjacent" would be the height, let it be h.
<em>Which trig ratio relates opposite and adjacent? Yes, that is TAN. Thus we can write:</em>
Tan(20) = opposite/adjacent
Tan(20) = 30/h
h = 30/Tan(20)
h = 13.41
So
The height of the cone would be around 13.41 cm
Answer:
The other factor is 
Step-by-step explanation:
we know that


In this problem we have

and
-----> because is a factor
substitute and solve for b

so

Verify in the second equation
----->
----->
--> is ok
The other factor is 
Answer:
-5
Step-by-step explanation:
Answer:
13 1/3°
Step-by-step explanation:
Divide 360° (full circumscribed circle) by 27.
There will be 27 identical interior angles, each measuring 13 1/3°