Josh has a 19-foot ladder leaning against his house. If the bottom of the ladder is 2 feet from the base of the house, how high does the ladder reach?

Sep 4, 2016

The ladder will reach at 18.9 feet (approx)

Explanation:

The leaning ladder and house wall form a rt. angled triangle where base is 2 feet and hypotenuse is 19 feet.

So height where the ladder touches is

$h = \sqrt{{19}^{2} - {2}^{2}}$

$h = \sqrt{357}$

$h = 18.9 \text{ feet }$ (approx