1. A ball is stuck in the gutter of a roof. The roof is 3 meters from the ground. For safety, I lean a ladder against the gutter with half a meter (0.5m) overlap. The base of the ladder is 1 meter away from the wall. How long is my ladder?
a) Draw a diagram to represent the above dimensions.
b) Calculate the total length of the ladder.
Answers & Comments
a)
|\
| \
| \ 3m
| \
|____\
1m
➳ The vertical line represents the wall of the house, and the horizontal line represents the ground.
➳ The diagonal line represents the ladder.
b) To calculate the total length of the ladder, we can use the Pythagorean theorem.
Using the Pythagorean theorem, we can write:
The total length of the ladder is approximately 3.64 meters.
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