Respuesta :

Step 1

Draw the diagram

Step 2

Find the height of the telephone pole

We will use the trig ratio Toa to find the value of x since we are given the adjacent to be 40ft and the unknown the opposite is x

[tex]\begin{gathered} Tan\theta=\frac{opposite}{adjacent} \\ \theta=59 \\ tan59=\frac{x}{40} \\ x=40tan59 \\ x=66.57117929ft \\ x\approx66.6ft \end{gathered}[/tex]

Answer;

[tex]The\text{ height of the pole=66.6ft}[/tex]

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