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The diagonal braces in a fire tower are 20ft long and span a horizontal distance of 12ft. How high does each brace reach​ vertically?

Sagot :

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Answer:

The vertical span or the height which the brace will reach vertically is 16 ft.

Step-by-step explanation:

The diagonal braces in a fire tower will form a right triangle with the horizontal span and height which it will reach vertically.

It is given that,

the length of the brace is [tex]l=20\rm{ft}[/tex]

the horizontal span of the brace is [tex]b=12\rm{ft}[/tex]

Let the height which the brace will reach is [tex]h[/tex].

Now, the brace length will be the hypotenuse of the right triangle and horizontal and vertical span (height) will be the other two sides of the triangle.

So, by using Pythagoras theorem, the vertical span h of the braces will be,

[tex]h^{2}+b^{2}=l^{2}\\h^{2}+12^{2}=20^{2}\\h^{2}=256\\h=16\rm{ft}[/tex]

Therefore, the vertical span or the height which the brace will reach vertically is 16 ft.

For more details, refer the link:

https://brainly.com/question/1260362?referrer=searchResults

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