To solve this problem you must apply the proccedure shown below:
1. You have the following information given in the problem above:
- The vertical pole is10 meters high and casts a shadow 8 meters long.
- The tree casts a shadow 40 meters long.
2. Then, by similarity, you have:
x/10=40/8
8x=(10)(40)
8x=400
x=400/8
x=50 meters
3. Therefore, as you can see, the answer is: The height of the tree is 50 meters.