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Mark placed a ladder against a wall. The bottom of the ladder was 5 feet away from the wall. Find the height of the wall.

Mark placed a ladder against a wall The bottom of the ladder was 5 feet away from the wall Find the height of the wall class=

Respuesta :

calculista

Answer:

[tex]5\sqrt{3}\ ft[/tex]

Step-by-step explanation:

we know that

In the right triangle of the figure

Let

h ----> the height of the wall

Applying the Pythagorean Theorem

[tex]10^2=5^2+h^2[/tex]

solve for h

[tex]100=25+h^2[/tex]

subtract 25 both sides

[tex]h^2=100-25[/tex]

[tex]h^2=75[/tex]

[tex]h=\sqrt{75}\ ft[/tex]

simplify

[tex]h=5\sqrt{3}\ ft[/tex]

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