The total length of the three cables is 60 feet if the radio station is going to construct a 12-foot antenna Tower on the roof of the station building.
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
Let's assume the tower length is x feet
The antenna tower creates a perpendicular to the right-angle triangle and the length of the right angle triangle is 12 foot
The base length will be 16 feet
From the Pythagoras theorem:
12²+16² = x²
x = 20 foot
The three cables length = 3×20 = 60 feet
Thus, the total length of the three cables is 60 feet if the radio station is going to construct a 12-foot antenna Tower on the roof of the station building.
Learn more about the right angle triangle here:
brainly.com/question/3770177
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