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