Answer:
13.4 feet
Step-by-step explanation:
a²+b²=c²
12²+6²=c²
144+36=[tex]\sqrt{180}[/tex]
=13.4
The length of the cable is 13.416 feet.
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have one end of the cable is attached to the top of a flagpole.
The other end is attached 6 feet away from the base of the pole.
The flagpole height = 12 feet
As we can see in the figure it is a right angle triangle in which the:
The length of the base of the right angle triangle b = 6 feet
The length of the perpendicular l = 12 feet
From the Pythagoras theorem:
[tex]\rm Hypotenuse^2 = Base^2+Perpendicular^2[/tex]
Let's suppose the length of the cable is x feet
[tex]\rm x^2 = 6^2+12^2[/tex]
[tex]x^2 = 36+144 \Rightarrow 180[/tex]
[tex]\rm x = \sqrt{180}[/tex]
x = 13.416 feet
Thus, the length of the cable is 13.416 feet.
Know more about trigonometry here:
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