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

Answer 1

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.