Final answer:
To find the height of the tree, set up a proportion using the lengths of the shadow and the height of the pole.
Step-by-step explanation:
To find the height of the tree, we can set up a proportion using the length of the pole's shadow and the height of the pole. The proportion is:
Height of tree / Length of tree's shadow = Height of pole / Length of pole's shadow
Plugging in the given values:
x / 25m = 2m / 1.5m
Cross-multiplying and solving for x, we get:
x = (2m / 1.5m) * 25m
x = 33.33m
The height of the tree is approximately 33.33 meters.