Respuesta :
Distance between base of the flagpole from from the end of the piece of string is 8 meter
Solution:
Given that 17-meter piece of string is stretched from the top of a 15-meter flagpole to the ground
To find: Distance between base of the flagpole from from the end of the piece of string
The diagram is attached below
The flagpole and ground and string forms a right angled triangle
In the right angled triangle, ABC
AB = height of flag pole = 15 meter
AC = length of string = 17 meter
BC = "x" = Distance between base of the flagpole from from the end of the piece of string
Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.
By above definition for right angled triangle ABC,
[tex]AC^2 = AB^2 + BC^2[/tex]
[tex]17^2 = 15^2 + x^2\\\\289 = 225 + x^2\\\\x^2 = 64\\\\\text{Taking square root on both sides }\\\\x = \sqrt{64}\\\\x = \pm 8[/tex]
As length cannot be negative, ignore negative value
x = 8
Thus distance between base of the flagpole from from the end of the piece of string is 8 meter
Distance between base of the flagpole from from the end of the piece of string is 8 meter
We have given that 17-meter piece of string is stretched from the top of a 15-meter flagpole to the ground
We have to find the distance between base of the flagpole from from the end of the piece of string
Suppose consider an triangle ABC
The flagpole and ground and string forms a right angled triangle
In the right angled triangle, ABC
AB = height of flag pole = 15 meter
AC = length of string = 17 meter
BC = "x" = Distance between base of the flagpole from from the end of the piece of string
What is the Pythagorean theorem?
[tex]hypotenuse ^2=side^2+side^2[/tex]
By above definition for right angled triangle ABC,
[tex]AC^{2}=BC^2+AB^2[/tex]
[tex]17^2=15^2+BC^2[/tex]
[tex]BC^2=64\\BC=8[/tex]
As length cannot be negative, ignore negative value
x = 8
Thus distance between base of the flagpole from from the end of the piece of string is 8 meter.
To learn more about the right angle triangle visit:
https://brainly.com/question/18452950
