The roof of a castle tower is shaped like a cone. The base of the cone is 20 m across, and the height is 25 m. The slant height of the roof, which is unknown, is the hypotenuse of the right triangle formed with the radius
and the height of the cone. Show all your work!
(a) Sketch the roof of the castle tower. Label the known lengths as described and label the unknown
length as x.
(b) What is the slant height of the roof to the nearest whole number?

1) letter c.

2) 4 square root of 9

hope this

step-by-step explanation:

look at the picture.

1.

ef : ab = 2 : 3

gf : cb = 2 : 3

gh : cd = 2 : 3

he : da = 2 : 3

2.

∠a ≅ ∠e

∠b ≅ ∠f

∠c ≅ ∠g

∠d ≅ ∠h

3.

use pythagorean theorem:

the length of the abcd trapezoid sides:

|ab| = 3 cm

|bc| = 10 cm

|cd| = 3(3) cm = 9 cm

|da| = 8 cm

the perimeter of abcd = 3 + 10 + 9 + 8 = 30 cm

the ratio of perimeters of the tarapezoids is equal 2 : 3.

substitute:

      cross multiply

      divide both sides by 3

its less than 713.21 but greater than 5.2