Question

working with the pythagorean theorem: part 2
3 more questions to go
helen needs to clean the windows on the outside of her house. she has a 7 - meter ladder, and she must place the base of the ladder 2 meters from the wall of the house. will the top of the ladder reach the windows that are 6 meters above the ground? why or why not?
yes, because the ladder will reach a height between 7 and 8 meters, which is greater than the windows height of 6 meters.
no, the ladder will not reach the windows, because the ladder will reach a height of 5 meters, which is less than the windows height of 6 meters.
yes, because the ladders length, 7 meters, is greater than the

Explanation:

Step1: Apply Pythagorean theorem

Let height = $h$, ladder length = 7m (hypotenuse), base = 2m.
$h^2 + 2^2 = 7^2$
$h^2 = 49 - 4 = 45$
$h = \sqrt{45} \approx 6.71$ meters

Step2: Compare with window height

$\sqrt{45} \approx 6.71 > 6$

Answer:

Yes, because the ladder will reach a height of approximately 6.71 meters, which is greater than the windows' height of 6 meters. (Note: The correct option is the first one if it states the height is above 6; based on calculation, the ladder reaches ~6.71m >6, so the answer is yes.)