To find the distance between the tops of the two poles, we can visualize this as a right triangle. The two poles create a vertical side of this triangle where the difference in their heights forms one side, and the horizontal distance between their feet serves as the other side.
The heights of the poles are:
- Height of the first pole: 6m
- Height of the second pole: 11m
The distance between their feet is given as 12m.
The difference in height between the two poles is:
Height difference = 11m – 6m = 5m
Now, we have a right triangle where:
- One side (vertical) = 5m (height difference)
- Other side (horizontal) = 12m (distance between their feet)
To find the distance between their tops, we can use the Pythagorean theorem, which states:
c² = a² + b²
In this case:
- a = 5m
- b = 12m
Using the Pythagorean theorem:
c² = 5² + 12²
c² = 25 + 144
c² = 169
c = √169
c = 13m
Therefore, the distance between the tops of the two poles is 13 meters.