Answer:
To find the height of a triangle given its area and base, you can use the formula:
Area = (base * height) / 2
In this case, we have:
Area = 64 dm²
Base = 1.6 m
First, let's convert the area to square meters since the base is given in meters.
1 dm² is equal to 0.01 m². Therefore, 64 dm² is equal to (64 * 0.01) m², which is 0.64 m².
Now, we can substitute the values in the formula:
0.64 m² = (1.6 m * height) / 2
To solve for height, we can rearrange the formula:
height = (2 * 0.64 m²) / 1.6 m
height = 1.28 m / 1.6 m
height = 0.8 m
Therefore, the height of the triangle is 0.8 meters.