A vertical pole 10 meters high, casts a shadow 8 meters long. at the same time, a nearby tree casts a shadow 40 meters long. find the height of the tree in meters

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.