a certain tree casts a shadow 6 m long. at the same time a nearby man measuring 2 m tall casts a shadow 4m long what is the height of the tree
To find the height of the tree, we can set up a proportion using the similar triangles formed by the tree and its shadow, and the man and his shadow.
Let x be the height of the tree.
Using the similar triangles:
height of man / shadow of man = height of tree / shadow of tree
2 / 4 = x / 6
Cross multiplying, we get:
2 * 6 = 4 * x
12 = 4x
Dividing by 4 on both sides:
x = 3
Therefore, the height of the tree is 3 meters.