A 17-meter piece of string is stretched from the top of a 15-meter flagpole to the ground. How far is the base of the flagpole from the end of the piece of string? show work

Given That , 17 - meter of string is stretched from the top of a 15 - meter flagpole to the ground.

To find :- Distance between base of the flagpole from the end of the piece string .

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 the end of the piece of string .

• Pythagoras theorem , States that the square of the length of the hypotenuse of equal to the sum of squares of the lengths of other two sides of the right - angled triangle .

=> AC^2 = AB^2 + BC^2

=> 17^2 = 15^2 + x^2

=> 289 = 225 + x^2

=> x^2 = 289 - 225 = 64

=> x^2 = 64

As Length cannot be negative , ignore negative value .

x = 8

• Thus , Distance between base of the flagpole from the end of the piece of string is 8 meter ...

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