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a 38-ft ladder is leaning against a building the bottom of the ladder is 7 ft from the base of the building to the nearest foot how high it does the ladder reach the building?​

Respuesta :

Answer:

37 ft.

Step-by-step explanation:

Use the Pythagorean theorem to solve.  

The hypotenuse = 38 and a leg is 7.  

Let d = distance from ground to top of the ladder

[tex]38^{2} = x^{2} + 7^{2}[/tex]

1444 = [tex]x^{2} + 49[/tex]

[tex]x^{2} = 1395\\x = \sqrt{1395} = 37.3496...\\37 ft.[/tex]

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