Answer:
The height of the tower would be 610.80 feet.
Step-by-step explanation:
Consider h be the height( in ft ) of the communications tower,
Given,
Length of the wire = 650 ft,
Angle made by the wire to the ground = 70°
Thus, we make a triangle with sides h and 650 with angle 70° opposite to the side measures h, ( shown below )
Using trigonometric ratio,
[tex]\sin 70^{\circ}=\frac{h}{650}[/tex]
[tex]\implies h = 650\times \sin 70^{\circ}\approx 610.80[/tex]
Hence, the height of the tower would be 610.80 feet.
The height of the tower would be 610.80 feet.
Given that,
Based on the above information, the calculation is as follows:
[tex]sin 70^{\circ} = h \div 650[/tex]
h = 610.80
Therefore we can conclude that The height of the tower would be 610.80 feet.
Learn more: brainly.com/question/6201432
