SOLUTION: 1. a. The radius of the base of a right circular cone is 2m and its height is 3m. what is the slant height? b. a 13m guywire runs from a peg on the ground to a point on the teleph

Algebra ->  Trigonometry-basics -> SOLUTION: 1. a. The radius of the base of a right circular cone is 2m and its height is 3m. what is the slant height? b. a 13m guywire runs from a peg on the ground to a point on the teleph      Log On


   

Question 1031953: 1. a. The radius of the base of a right circular cone is 2m and its height is 3m. what is the slant height?
b. a 13m guywire runs from a peg on the ground to a point on the telephone pole 14m guht. if the peg is 15m from the pole, what is the distance from the top of the pole to the point where the wire is tied?
2. a. the diagonal of a square is 3 square root of 2 cm. how long is the side of the square?
b. how far is a vertext of a rectangle 6m by 3m from the midpoint of a side not containing that vertext? (there are two answers)
Answer by macston(5194) About Me  (Show Source):
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(1a)
The radius and height form two sides of a right triangle:
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a%5E2%2Bb%5E2=c%5E2
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Let a=radius and b=height, slant height will be c.
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%282m%29%5E2%2B%283m%29%5E2=c%5E2
4m%5E2%2B9m%5E2=c%5E2
13m%5E2=c%5E2
sqrt%2813m%5E2%29=c
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(1b)
A 13 meter wire tied to a peg 15 meters from a pole will not reach the pole at all. Re-examine your problem as it was given to you, re-check your numbers.