Question

1. a 13 - foot ladder leans on a wall as shown. what height does the ladder reach on the wall? round to the nearest tenth of a foot. 13 feet 3.4 feet

Explanation:

Step1: Apply Pythagorean theorem

Let height be $h$. $h^2 + 3.4^2 = 13^2$

Step2: Calculate $3.4^2$ and $13^2$

$3.4^2 = 11.56$, $13^2 = 169$

Step3: Solve for $h^2$

$h^2 = 169 - 11.56 = 157.44$

Step4: Find $h$ and round

$h = \sqrt{157.44} \approx 12.5$

Answer:

12.5