Respuesta :
Answer: 89.4427
Step-by-step explanation: I apologize if I am wrong; I used Pythagorean Thyreom, and I used the formula a=√c^2-b^2 since we are solving for side a.
a=√120^2−80^2
a=√14400−6400
a=√8000
a=89.4427
I hope this is what you are looking for :)
Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the height of the tower is 89.44 m.
What is a right-angle triangle?
It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
The length of a guy's wire supporting a cell tower is 120 meters.
The guy wire is anchored to the ground at a distance of 80 meters from the base of the tower.
We know that the Pythagoras theorem.
[tex]\rm H^2 = P^2 + B^2[/tex]
We have
H = 120 m
B = 80 m
Then by the Pythagoras theorem, we have
[tex]\rm P = \sqrt{H^2 - B^2}\\\\P = \sqrt{120^2 - 80^2}\\\\P = \sqrt{14400 - 6400}\\\\P = \sqrt{8000} = 89.44[/tex]
Thus, the height of the tower is 89.44 m.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
