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

Respuesta :

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.

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