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Answer:
Alec is climbing 17 rungs on the ladder of 14 feet ( including first and last rung ) .
Step-by-step explanation:
Given:
Length of the ladder = 14 foot
Distance between Rungs in ladder =
There is one foot of space on each end of the ladder before the first and last rung .
To Find:
Number of rungs are on the ladder =?
Solution:
Let us assume there are 3 rungs. Between 3 rungs there will be two spaces. between four rungs there will be 3 spaces , so between n + 1 rungs there will be n spaces.
Given that length of the ladder = 14 feet
There is one foot of space on each end before the first and last rung.
So length of the ladder between first and last rung = 14 – 2 ( 1 foot of each side) = 12 feet
As distance between each rung =
Number of spaces in ladder of 12 feet =
Number of spaces in ladder of 12 feet=
Number of spaces in ladder of 12 feet=
Number of spaces in ladder of 12 feet =16
And as for n spaces there will be n + 1 rungs, so for 16 spaces there will be 16 + 1 = 17 rungs.