Question

walkway between the second floor balcony 3. solve for the walkway length

Explanation:

Step1: Identify triangle sides

We have a right triangle with hypotenuse $c=50$ ft, one leg $b=30$ ft. Let walkway = $a$.

Step2: Apply Pythagorean theorem

Use $a = \sqrt{c^2 - b^2}$

$$\begin{align*} a &= \sqrt{50^2 - 30^2} \\ &= \sqrt{2500 - 900} \\ &= \sqrt{1600} \end{align*}$$

Step3: Calculate final value

Simplify the square root.
$a = 40$

Answer:

40 feet