A pole of height 2m cast a shadow 1.5m long. Find the height of a tree whose shadow is 2.5m long.
2/1.5 = x/2.5
Cross multiply and solve for x.
3,33
To find the height of the tree, we can set up a proportion using similar triangles.
Let's say the height of the tree is "h" meters. According to the given information, the shadow of the pole is 1.5m long, and the height of the pole is 2m.
We can create the following proportion:
height of the pole / length of the shadow of the pole = height of the tree / length of the shadow of the tree
Using this proportion,
2m / 1.5m = h / 2.5m
Now, we can solve for h by cross multiplying:
2 * 2.5 = 1.5 * h
5 = 1.5 * h
Divide both sides by 1.5 to isolate h:
h = 5 / 1.5
h = 3.33 meters
Therefore, the height of the tree is approximately 3.33 meters.
To answer the question in general, to find the height of an object based on similar triangles, you need to set up a proportion using the corresponding sides of the similar triangles. Cross multiply and solve for the unknown variable.