Question

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?

Answer 1

Answer:

10.95'

Step-by-step explanation:

Pythagorean Theorem ($a^{2} X b^{2} = c^{2}$)

a = 7' base

b = x unknown side height

c = 13' ladder (hypotenuse)

Using are formula:

49 X $x^{2}$ = 169

after subtracting 49 from both sides:

$x^{2}$ = 120

$\sqrt{x}  = \sqrt{120}$

x = 10.95' (round as needed)