Atree is 100 feet tall casts a shadow that is 150 feet long . determine the angle at which the rays of of tge sun hit the ground , to tye nearest degree

To solve this problem you must apply the proccedure shown below:

 1. You have the following information given in the problem above:

 - The tree is 100 feet tall.
 - The tree casts a shadow that is 150 feet long.

 2. Therefore, you have:

 Tan^-1(α)=opposite/adjacent

 Where:
 - α is the angle.
 - opposite=100 feet.
 -adjacent=150 feet.

 2. When you substitute these values, you obtain:

 Tan^-1(α)=100/150
 α=34º

 The answer is: 34º

 

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