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A 13​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 7 feet from the base of the building. How high up the wall does the ladder​ reach?

Respuesta :

vamok

Answer:

10.95'

Step-by-step explanation:

Pythagorean Theorem ([tex]a^{2} X b^{2} = c^{2}[/tex])

a = 7' base

b = x unknown side height

c = 13' ladder (hypotenuse)


Using are formula:

49 X [tex]x^{2}[/tex] = 169

after subtracting 49 from both sides:

[tex]x^{2}[/tex] = 120

[tex]\sqrt{x}  = \sqrt{120}[/tex]

x = 10.95' (round as needed)

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