A five foot tall bear casts a 7 foot shadow. At what angle do the sun's rays hit the ground? Determine which trig function you would use, and solve the equation. Round to the nearest tenth. (*Hint: draw a picture.) undefined 45.5 degrees 545 degrees 35.5 degrees

Respuesta :

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]

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