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:
f = 1
Step-by-step explanation:
Use the method of cross- multiplication
= 
⇒ ad = bc, thus
20f = 5(f + 3) ← distribute
20f = 5f + 15 ( subtract 5f from both sides )
15f = 15 ( divide both sides by 15 )
f = 1
Answer:
Step-by-step explanation:
The Law of Cosines is given as:
.
Plugging in given values, we get:
.
Answer:6
Step-by-step explanation:
If we know that the formula of a rectangular prism is length * width * height, and we know the height and width are 7 and 9, the length is the only thing that is left. The volume is 378, and so now we have:
length * 7 * 9 = 378. Dividing the 9 and 7, we get 378/(9*7). The length is 6.
