SOLUTION: The roof of a castle tower is shaped like a cone. The base of the cone is 24 m across and the height is 16 m. The slant height of the roof, which is unknown, is the hypotenuse of t

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Question 1066628: The roof of a castle tower is shaped like a cone. The base of the cone is 24 m across and the height is 16 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.
(a) (a) Sketch the roof of the castle tower. Label the known lengths as described and label the unknown length as x.
(b)(b) What is the slant height of the roof?
Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
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Apply the Pythagorean theorem.

One leg is 24%2F2 = 12 m, and the other leg is 16 m.