Question

A 17 metre piece of string is stretched from the top of a 15 metre flag pole to the ground. how far is the base of the flagpole from the end of the piece of string?

Answer 1

Answer:

2 metre extra

Step-by-step explanation:

Answer 2

Answer:

The base of the flagpole from the end of the piece of string is at 8m.

Step-by-step explanation:

Given the length of stretched piece of string,  $l = 17m$

Height of the flag pole from the ground, $h= 15m$

Need the find the base of the flagpole from the end of the piece of string.

When a string is stretched at an angle from the top to bottom, it makes a right angled triangle.

According to Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides. i.e.,

$l^{2} =h^{2} +b^{2}$

$\implies (17)^{2} =(15)^{2} +b^{2}$

$\implies 289 =225 +b^{2}$

$\implies b^{2} =289 -225 =64$

$\implies b =\sqrt{64} =8m$

Therefore, the base of the flagpole from the end of the piece of string is at 8m.

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