[tex]\boxed{\phi=50.20^{\circ}}[/tex]
Explanation:
The figure below shows the representation of this problem. We know some facts:
- An 18 foot tree casts a 15 foot long shadow.
- We want to know what is the angle formed by the sun rays and the ground
What we are looking for is the angle ∅ which is indicated in the figure below. From trigonometry we know this equation:
[tex]tan(\phi)=\frac{Opposite \ side}{Adjacent \ side} \\ \\ tan(\phi)=\frac{18}{15} \\ \\ \phi=arctan(\frac{18}{15}) \\ \\ \boxed{\phi=50.20^{\circ}}[/tex]
Learn more:
Classification of triangles: https://brainly.com/question/10379190
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