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Sagot :
I do not believe the previous answer is correct. This is an a^2+b^2=c^2 problem. The 50 foot cable is the hypotnuse (c) and 15 foot gap is one of the sides (a). So take 15 and square it. Then square 50. You then should have 15^2+b^2=50^2. Subtract 15^2 to the right side, then square root the answer to get b, the height of the antenna.
Length of antenna is 47.69696 ft.
What is Pythagoras theorem?
The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. This theorem can be expressed as, [tex]c^{2}=a^{2} +b^{2}[/tex] ; where 'c' is the hypotenuse and 'a' and 'b' are the two legs of the triangle.
A 50-ft cable is stretched from the top of an antenna to an anchor point on the ground 15ft from the base of the antenna.
Using Pythagoras theorem
= [tex]\sqrt{50^{2} -15^{2} }[/tex]
= [tex]\sqrt{2500-225}[/tex]
= [tex]\sqrt{2275}[/tex]
= 47.69696 ft
Hence, length of antenna is 47.69696 ft.
Find out more information about the Pythagoras theorem here:
https://brainly.com/question/343682
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