Am 80 meter tower is supported by a guy wire attached to the top of the tower. If the wire forms an angle of elevation of 79 degrees, how long is the wire.?

Respuesta :

Solution:

From the question, we gathered that;

Using sine trigonometry ratio;

[tex]\begin{gathered} \sin\theta=\frac{opposite}{hypotenuse} \\ \\ \theta=79^o,hypotenuse=x,opposite=80 \\ \end{gathered}[/tex]

Thus;

[tex]\begin{gathered} \sin79^o=\frac{80}{x} \\ \\ x=\frac{80}{\sin79^o} \\ \\ x=81.5m \end{gathered}[/tex]

ANSWER: The wire is 81.5 meters long.

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