Answer:
The angle is;
[tex]35.5^0[/tex]Explanation:
Given that a five foot tall bear casts a 7 foot shadow.
Let us illustrate the question with aa drawing;
From the diagram;
Applying trigonometry;
[tex]\begin{gathered} \tan \theta=\frac{opposite}{Adjacent} \\ \tan \theta=\frac{5}{7} \end{gathered}[/tex]solving for the angle;
[tex]\begin{gathered} \theta=\tan ^{-1}(\frac{5}{7}) \\ \theta=35.5^0 \end{gathered}[/tex]Therefore;
The trigonometric function used to solve the question is "tan" as shown in the equation above;
And the angle is;
[tex]35.5^0[/tex]