Question

1. youre locked out of your house. the only open window is on the second floor, 25 feet above the ground. there are bushes along the edge of the house, so you will need to place the ladder 10 feet from the house. what length ladder do you need to reach the window? round to the nearest hundredth.

Explanation:

Step1: Identify the problem as a right - triangle problem

We can consider a right - triangle where the height of the window above the ground is one leg ($a = 25$ feet) and the distance from the house to the base of the ladder is the other leg ($b = 10$ feet). The length of the ladder is the hypotenuse $c$.

Step2: Apply the Pythagorean theorem

The Pythagorean theorem is $c=\sqrt{a^{2}+b^{2}}$. Substitute $a = 25$ and $b = 10$ into the formula: $c=\sqrt{25^{2}+10^{2}}=\sqrt{625 + 100}=\sqrt{725}$.

Step3: Calculate the value of $c$

$\sqrt{725}\approx26.93$ feet.

Answer:

$26.93$ feet