This task is about continuing a pattern and stating the rule for the pattern.
The distance between each rung of a ladder is 30 cm, and there is an additional 30 cm at the top and bottom of the ladder, as shown in the diagram.
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Complete this table, giving the lengths of ladders with different numbers of rungs (Do not count the thickness of the rungs):
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b)
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Complete the following sentence to make a rule for calculating the length of a ladder with any number of rungs.
To get the length of a ladder, multiply the number of __________ by __________ and
then add __________.
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| c) |
Because it has to lean at an angle, a ladder will only reach to a height equal to 4⁄5 of its length.
Mr Carpenter has a 10-rung ladder, and wants to step onto a roof 3 metres above the ground.
Show how to work out whether his ladder will be long enough.
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Will his ladder be long enough? __________ |