Question

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

Answer 1

The angle is;

`35.5^0`

Step-by-step 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;

`\begin{gathered} \tan \theta=(opposite)/(Adjacent) \\ \tan \theta=(5)/(7) \end{gathered}`

solving for the angle;

`\begin{gathered} \theta=\tan ^(-1)((5)/(7)) \\ \theta=35.5^0 \end{gathered}`

Therefore;

The trigonometric function used to solve the question is "tan" as shown in the equation above;

And the angle is;

`35.5^0`