Height of the school building is equals to 34ft.
What is height?
" Height is defined as one of the dimension which represents the distance between base and the top."
Formula used
Pythagoras theorem
(Hypotenuse)² = (Opposite side)² + (adjacent side)²
According to the question,
'h+ 10 ' represents the height of the building
As shown in the figure,
In the right triangle
' Hypotenuse' represented by length of the cable = 25ft
Adjacent side = 7ft
'h' is the height of the triangle
Substitute the value in the Pythagoras theorem we get,
[tex](25)^{2} = 7^{2} + h^{2}[/tex]
⇒ [tex]h^{2} = 625 - 49[/tex]
⇒ [tex]h = \sqrt{576}[/tex]
⇒ [tex]h = 24[/tex] ft.
Therefore,
Height of the school building [tex]' h + 10 '= 24 + 10[/tex]
[tex]= 34[/tex] ft.
Hence, height of the school building is equals to 34ft.
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