Question

The base of a 15m ladder is 5m away from a wall. How high from the floor is the top of the ladder?

Answer 1

Answer:

14.14ft

Step-by-step explanation:

the pythagorean theorem: $a^{2} + b^{2} = c^{2}$

we know the base (5m) and the hypotenuse (15m) but not the height ($a^{2}$)

$a^{2} + 5^{2} = 15^{2}$

$a^{2}$+25=225

$a^{2}$= 225-25

A = $\sqrt{200}$

A = 10$\sqrt{2}$

A= 14.14 ft