While working on the roof of his house, John leans a 15 foot ladder against a second story window. If the distance on the ground

Question

2 years ago

13

While working on the roof of his house, John leans a 15 foot ladder against a second story window. If the distance on the ground

between the base of the ladder and the house is nine feet, at what height does the ladder reach the second story window? In your final answer, include all necessary calculations.

Mathematics

2 answers:

Minchanka [31] · Answer 1 · 2022-08-08T18:16:19+03:00

Answer:

12 foot.

Step-by-step explanation:

Given that,

A ladder leans a 15 foot ladder against a second story window.

The distance on the ground between the base of the ladder and the house is 9 feet.

We need to find the height of the ladder. Let it is h.

If we consider a right angles triangle such that 15 foot is hypotenuse, 9 feet is base, then we need to find the perpendicular height of the triangle. Using Pythagoras theorem to find it.

$15^2=9^2+h^2\\\\h^2=15^2-9^2\\\\h^2=225-81\\\\h=12\ \text{foot}$