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
Because the ratio of women to children is 10:1, double the ratio of men to women so the women are both 10:
Men to women becomes 8:10
Now total the 3 ratios: 8 for men, 10, for women and 9 for children:
8 + 10 + 9 = 27
Divide total people by that number:
270/27 = 10
Multiply 10 by each ratio:
Men = 8 * 10 = 80
Women = 10 * 10 = 100
Children = 9 *10 = 90
There is 80 men.
It is important to remember that weight is not the same as mass - the weight of an object and its mass are directly proportional . This means that for a given gravitational field strength, the greater the mass of the object, the greater its weight.
