Answer:
580 ft
Step-by-step explanation:
We are given that
Length of guy wire=600 ft
[tex]\theta=75^{\circ}[/tex]
Let h be the height of communication tower.
In triangle ABC ,
[tex]\frac{AB}{AC}=\frac{perpendicular\;side}{hypotenuse}=sin\theta[/tex]
Substitute the values then we get
[tex]\frac{h}{600}=sin75^{\circ}[/tex]
[tex]h=60 sin75^{\circ}[/tex]
[tex]h=579.5ft [/tex]
[tex]h=580 ft[/tex]
Hence, the height of communication tower=580 ft
